We normally, my mutual silent agreement, tend to keep quiet about such things. First, why they are wrong. The Tuesday factoid is irrelevant. If youre looking for a challenge on the order of a Popplock, then youll want to look elsewhere as I feel you will probably be disappointed. Email me your suggestions at email[AT]robeastaway.com. Robert, that is the complete statement of the problem. Going back to one of my previous posts, would it change anything for you if the wording was, at least one is a boy? This is so perfect that you would have to own a time machine and pick one of these up from Gary at IPP20 to get one in better condition. Here's the entire text of a talk given at math, magic, and puzzle gathering (attendees included Stephen Wolfram and John Horton "Game of Life" Conway) by Gary Foshee: I have two children. Lets call a boy born on a Tuesday a BTu. This year the gathering mostly took place in the windowless conference room of an Atlanta hotel, apart from one afternoon when everyone relocated to Rodgerss residence on the outskirts of Atlanta. While the two responses above that get 1/2 as the answer are wrong, that doent mean the answer itself is wrong. character / nickname - shadow "blinky" - speedy "pinky" - bashful "inky" - pokey "clyde" - help - The PCman Website. Lets list the equally likely possibilities of children, together with the days of the week they are born in. If the word 'one' is emphasised, then in the statement "I have two children, at least one of them is a boy", the words "at least" really mean "thank goodness". It seems remarkable that the probability of having two boys changes from 1/3 to 13/27 when the birth day of one boy is stated yet it does, and its quite a generous difference at that. Foshees boy born on a Tuesday problem is a gem of the genre: easy to state, understandable to the layperson, yet with a completely counter-intuitive answer that can leave you with a smile on your face for days. Allard was able to get his hands on one of the original run, so head over here to read Allards thoughts. (LogOut/ Looking over the puzzle, theres a couple of fairly obvious things to try, like the screw thread at the bottom of the lock. But my reasoning was wrong. Of these 14 half, 7 will have a sister Posts about gary foshee written by Mark Widdicombe. Attendees were invited to make the worlds first snub dodecahedron out of balloons, shown how to solve the Rubiks cube while blindfolded and given tips on how to place a lemon under a handkerchief without anyone knowing. Gary Foshee presented this puzzle at the 2010 Gathering for Gardner: I have two children. The probability of a having two boys where one is a boy being born on a non specific day of the week is still 1/3. Life appeared again in a talk by Stephen Wolfram, the mathematician and software entrepreneur behind the Wolfram Alpha computational engine and the blockbuster software Mathematica. I will ship it fast during 2-3 days . If you have two children, and one is a boy, then the probability of having two boys is significantly different if you supply the extra information that the boy was born on a Tuesday. Because twins are usually born on the same day. If you take a portrait of yourself and email the image to the Jigazo website, you will receive an email back with a map of the arrangement of the symbols such that when the pieces are assembled in this way the jigsaw shows your portrait. Whats the chance that a second coin flip will be different than the first? Also, if they are twins, is the probability of them being the same gender increased? The first thing you think is What has Tuesday got to do with it? BG and GB are the same option in this scenario unless you specify the boy born on Tuesday was born first or second. Alternatively you may access more detailed information and change your preferences before consenting or to refuse consenting. What a Motley crew there?!). b) genetics matter; if you have a boy, you are more likely to have another boy. Made it through the Cal State systems junior level calculus, just as much as I needed for a Chem BS. Price: US $18.00. THE WORLDS BIGGEST PAC-MAN Create a Maze LOGIN: Login NAVIGATOR HOME Close Global Stats Pac-Dots Eaten 1,985,455,232,143,881,984 Lives Lost 2,147,483,677 Ghosts Eaten 2,147,483,690 Mazes Created If the answer was really only 1/3 for the 2nd child being a boy, then there is a 2 out of 3 chance that that child is a girl. Designer Gary Foshee Manufacturer Gary Foshee Dimensions ~2 inches Availability Not Available Type Take Apart Material Aluminium Objective Open the container and retrieve an IPP29finger ring IPP Exchange Puzzle Exchanged by Gary Foshee at IPP29(August 2009 - San Francisco) Richard shares a variation (imagined by Gary Foshee) which it find the counter-intuitive: "I have two children. The middle part is composed of four complete sets of hexacubes. So while the chances a family is BG are 1 in 4, the chances a family is BG *AND* you know about the boy this way are only 1 in 8. How many minutes total did they pay play softball. All about mechanical puzzles like burr puzzles, wire puzzles, dexterity toys and much more. After looking at the first problem in a corrected light, it would turn his notion on its head, but again, this has the same flawed assumption. The letters looked distinctive, if a little clunky. PGINA NACIDA EL 14 DE ABRIL DEL 2005 Juan Roure Espinosa Puzzle Master Gary Foshee level 9 has an exciting collection of Gruelling puzzles to explore your mind. The 300 guests included magicians, origamists, artists, maze designers, puzzle writers, toy inventors and cognitive psychologists, as well as some of the worlds most gifted mathematicians. Their numbers are correct but it leads people to think it says something it doesnt. It looks pretty simple, with a square frame, a shackle, and a few bits and pieces attached to the frame. 1/2 is the answer to: World's Biggest PAC-MAN Play The World's Biggest PAC-MAN game online or create your own PAC-MAN maze to make it even bigger. The event was the Gathering for Gardner earlier this year, a convention held every two years in Atlanta, Georgia, uniting mathematicians, magicians and puzzle enthusiasts. One. Seems to me it was a cheesy, gotcha, trick question, and just numerical masturbation after that. What is the probability I have twoboys? Home; Museum. It doesnt matter whether John was born before Sue, only that John and Sue are siblings: Solve: One is a boy born on a Tuesday. The pop-up lettering technique behind his origami font could, he says, be used with paper that can pucker up to form tactile shapes: to make, for example, a map you can read in the dark. My website And in the Tuesday boy problem, if the word Tuesday is emphasised, then the chance of both children being boys is arguably 100%. Either one of two cases is possible. In fact, if you repeat the question but specify a trait rarer than 1/7 (the chance of being born on a Tuesday), the closer the probability will approach 1/2. Here the guests are free to indulge in all manner of mathematical recreations: University of Arkansas mathematician Chaim Goodman-Strauss led a group in building a Hilbert-space-filling curve out of 320 kilograms of steel; performance artist Caspar Schwabe constructed a kinetic bamboo hyperboloid; and composer Vi Hart demonstrated how to make polyhedra out of balloons. Once you know one child is a boy, then there are only four equally likely possibilities for the second childa younger boy, an older boy, a younger girl or an older girl. Check them now! Seems like nonsense to me, too. What is the probability I have two boys? Therefore, you can only eat the ghost with a number that solves the equation. The audience was silent as they pondered the question. Since half of the entire group has same-gender families, you should expect 1/2 of each group to have same-gender families also. In fact, only 27 can. Transparent Lock boxed with Garys Signature. This is more straightforward than that, and youre hardly the only one around here who has taken classes in logic. There are then 27 (rather than 28) allowable combinations of boy / girl / day, 13 of which (rather than 14) are boys. A more m. 5. Wow somebody mustve flunked math and is still bitter about it. One is a boy born on a Tuesday. This Wonderful Puzzler cube features images from the original Pac-Man video game. That makes the answer (1+12/2)/(1+12/2+14/2)=1/2. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); I have two children. After the gathering ended, Foshees Tuesday boy problem became a hotly discussed topic on blogs around the world. Transparent Lock by Gary Foshee Transparent Lock boxed with Gary's Signature The puzzle looks exactly as you'd expect for a transparent lock (or as it's also known, the Open Lock). The question states that one child is a boy. unless he wanted to make his margin and saw with Foshee how to make the more money he could). Includes Address (20) Phone (3) Email (6) See Results. I will end this blog with a challenge. 00 - help - There are many more free arcade games to play! The issue is understanding the question that was really asked. So the answer is 13/27, which is very different from 1/3. This is a well-known problem with an unexpected answer. It looks pretty simple, with a square frame, a shackle, and a few bits and pieces attached to the frame. (And, many years later, inspired the computer game Tetris, in which falling tetrominoes must be stacked together.) 1-100 Pieces; 101-499 Pieces; 500-749 Pieces; 750-999 Pieces; 196 parents of two children are selected to present a form of Gary Foshees question at a puzzle convention in their home town. If it isa Head I then say"Ihave two coins, at least one is a Head". The remaining cases are BB, BG, and GB, all still of equal probability. You were right the first time, as a first approximation. He was displaying a copy of a puzzle he had invented called Jigazo, currently the top-selling puzzle in Japan. Youd need actual population data on whether women who carry boys to term are more likely or not to carry another. One is a boy born on a Tuesday. Q4) What if, instead of naming a type, I reach in, and pull a out a coin in my closed fist. Now we can repeat this technique for the original question. now I am using net for articles or reviews, thanks to web. -Edward Gibbon A puzzle has recently been brought to my attention. The reasoning goes like this. (a - b) (a2 + ab + b^2) Sometimes, it's the simplest ideas that are ingenious. When the first child is a BTu and the second is a boy born on any day of the week: again there are seven different possibilities. Ill admit it has been many years since I hung out at Altgeld Hall worrying about such things, so please dont make me pull out my Probability and Statistical Inference by Hogg and Tanis to provide a more detailed exposition on conditional probablity, independent events and dependent events. Or if you choose to consider BG and GB the same case, they were originally 50% possible while BB was only 25% possible, so again, BB is only 25/(50+25) = 1/3 possible. Answer (1 of 12): Edit 21 Jul 14: After a lot of discussion in comments - some pleasant, some distinctly misogynistic and hostile - I will qualify that the answer that I present represents the position of many mathematicians, but is far from universally accepted, and some consider wrong. Made almost entirely from aluminium the puzzle has a fairly rough look to the body and the hex handle, showing lots of tool marks, while the rest of the puzzle has a polished and clean finish. When a family has two boys but you know about only one gender between the two, that gender has to be boy. But if they have a boy and a girl, it could be either. It consisted of the following three sentences: I have two children. What I mean by that is this: Tony Fisher Rubik-like Cubes. Gardner initially gave the answers 1/2 and 1/3, respectively; but later acknowledged[1] that the second question was ambiguous. This is easy to solve, using the method of your choice (1, 2). Imagine there were two NFL games today and you dont know how they ended, but that I tell you that the first game was won by the team that won the coin toss. Demaine reckoned the typeface had another more serious problem: Its way too easy to read! So he revealed a brilliantly incomprehensible font based on his work in origami: the origami maze font, for which each letter of the alphabet is the origami fold-pattern that, once folded, would make that letter protrude from the page. It consisted of the following three sentences: "I have two children. Reproducing the kidney cancer example from BDA. Of these 27 families 14 include 1 girl (7 older sisters, 7 younger). I think personnas Wikipedia excerpt (I havent read the whole page yet) may be identifying the assumption that I am making and that you arent (or perhaps the opposite you are assuming that the person is describing the children in some order). This is basic probability stuff and frankly silly. Wolfram attended the G4G with his wife and two of his four children. Description In Pac-Man vs., Pac-Man must navigate mazes, eating pac-dots, fruit, and power pellets as he dodges hungry ghosts, just like the original--but this time, human players control. I have randomly chosen a parent who has a boy and just one other child. Take 400 couples of parents with exactly 2 children each. Tomid Judged on the originality of attendees business cards, this is a pretty special event. credit and sources back to your website? I absolutely love this. Doh. Any dope can do that math. They have been asked to describe the sex and birth date of one of their children, and have replied boy Tuesday. What is the probability I have two boys?. 9.3K subscribers in the mechanicalpuzzles community. What is the probability I have two boys?. By this logic, the odds would be 1/3 that if you had two kids, and one was a boy, that both would be boys. To answer the question you need to first look at all the equally likely combinations of two children it is possible to have: BG, GB, BB or GG. By simply applying variables properly, we get a logically sound answer. Since you know I have at least one boy, there are three possible pairs of children I might have (older then younger): Each pairing is equally likely, and in only one of these three cases is the'other' child also aboy. This is a completely unambiguous question, and clearly leads to the 1/3 answer. However the facts that twins exist (3% of time) does not increase the probability of it being another boy significantly, especially considering that of that 3% some of them would be mixed sexes. In either case, the odds of having two boys are 50-50. May 2020 . Why? I have randomly chosen a parent who has two children. Play dozens of our free 3D puzzle models or use any of our 3d puzzle solvers! Next to the classic Blinky, Clyde, Inky and Pinky, new ones such as Crystal and Mechanical Ghost are introduced. One should take in account what instances they are excluding as much as what they are including. If you could do this, there would be massive use of this principle in every type of investigation, intelligence reporting, acturial and detective work. 2. So the answer is 13/27, which is very different from 1/3. Lived In Saint Henry OH, Rossburg OH, Ansonia OH, Guntersville AL. Seems like nonsense to me, too. CUBIC!Did you like this video?Want to see more?Please, support this channel!Subscribe, Like, and Comment!Have fun and thanks for Watchi. Many of Gardners contemporaries still come, including 93-year-old mathematician Richard Guy and Solomon Golomb, aged 88, whose work on polyominoes dominoes with more than two squares gained prominence thanks to a Gardner column in the late 1950s. . One is a boy born on a Tuesday. Strange. , multiplying polynomials Smith, Jones, and Williams each declare that they did not kill Cooper. I think that more clearly eliminates only the GG case. This is easy to solve, using the method of your choice (1, 2). For those of you not familiar with Pac-Man, it's a game where Pac-Man (the yellow circle with a mouth in the above figure) moves around in a maze and tries to eat as many food pellets (the small white dots) as possible, while avoiding the ghosts (the other two agents with eyes in the above figure). Did you know that Puzzle Place has a forum where you can talk about puzzles with other puzzlers? The ambiguity could be removed if it is you, the puzzle solver, who questions the parent. To get any other answer requires an ambiguity to be exploited in the statement of the problem, as well as confusing dependence and independence of the two births as discrete events. As well as providing something fun for early computer programmers, the wonder of seeing how complexity emerges from such simple beginnings captured many peoples imaginations in the early 1970s. There was an orange ghost.The other two side depict Pac-Man and the key which is the bonus "fruit" from the 13th stage up to the 256 stage where the game crashes. This puzzle can be found in collections of these members: Online since 2002. - 30109021. davionwilliam5157 davionwilliam5157 . Therefore the probability of having BB is still 1/3. James Follette The Bolt. , 9 Salvatore is making some back-to-school packs for his teacher. Greg Frederickson Stacked Triangles. I am not a mathematician so cannot express this in mathematical terms, but I am still sure it is right! So we can eliminate the GG, leaving us with just three options: BG, GB and BB. Good, then you are at the right place. Strange that he directed to Strijbos (its not his puzzles not his designed..! That makes the answer to Q1, and Robin Ryders riddle, 1/2. Conways Life is an example of what is known as a cellular automaton, a grid in which the cells can be either alive (white) or dead (black) and where four simple rules determine what happens to the cells in successive generations. So this question is the same as Q2 adn Q3, and Robin Ryder said the answer is 1/3. 3. Cubo de rubik , coleccionismo , Rubiks cube , todo acerca del cubo rubik, grcias por tu visita. 200 of those have a boy and a girl, which gives 66%. I dont agree with this analysis. When the first child is a BTu and the second is a boy born on any day of the week: again there are seven different possibilities. Galeries Des MontsSt-Sauveur, PQCanadaJ0R 1R0#Puzzle #Packman #ChrisRamsay Now what is the probability that the coin still in the box is the same type?That is, instead of naming bronze in Q2, I would grab a bronze coin, and instead of naming gold in Q3, I would grab a gold coin. is off base in this example. LAS VEGAS The clatter of 200 Rubik's Cubes twisting in unison filled the ballroom at the Riviera hotel and casino here on Saturday as Riley Woo, 15, stepped to the stage. If it helps, it could also be stated as at least one is a boy. Either way, this only eliminates one case: GG. It erases a repeated variable where both boys are born on Tuesday. This gives an upper bound for this puzzles publication.Edge length: 57 mmWeight: 102 grams. Have two boys, one of whom was born on a Tuesday. Sorry but I forget the proper term for this. What is the probability I have two boys? (Assume uniformity over genders and days of the week.) The PCman Website. I'm a software developer professionally, but in my spare time I enjoy puzzling, and creating my own puzzles. After all, there are only two sexes and its 50/50 the second will be a boy. One is a boy born on a Tuesday. But 1/3 is not the only valid answer. Puzzle World 1997-2017 by John Rausch These are fairly limited in production because Gary has to make the shackles himself, and having talked to him about them, theyre a real pain to make. To see why, let's simulate the occurrence of boys and girls by tossing a coin. Gallery:Mathemagical visions: a Gathering for Gardner album, Explore the latest news, articles and features, Vikings left Greenland after growing ice sheet caused sea level rise, How indoor air pollution affects your health and what to do about it, Starship livestream: Watch SpaceX launch the most powerful rocket ever, The Power of Language review: What speaking many languages can do, Amber fossils reveal dinosaurs and beetles had symbiotic relationship, A macroscopic amount of matter has been put in a quantum superposition. A few years ago, at a Gathering for Gardner puzzles and games convention in the USA, a man called Gary Foshee announced: . (2x + 1) (x 1) If the box did, indeed, have two of the same type, then I was forced. (x + 8) (x + b) But I think that devolves into a very simple and mechanical exercise. What are the chances it contains only one type of coin? (A hinged dissection is a technique in which a large shape is divided up into smaller shapes, linked together with hinges, and then refolded into another large shape.). This is a much easier question, though a controversial one as I later discovered. Shop Now! I was reading her column in Parade at the time. NxNxN. I've always claimed that I wasn't much good at it, but many of my friends seem to disagree, so I'm starting to listen to them and do something about it. The good news is that we can test it for real by flipping the coins 100 times and seeing how often the two coins are the same. Tiling is a major theme in recreational mathematics possibly because as well as being conceptually rich it is also aesthetically gratifying. Having been trying to get one of these for a while, and missing them at auction Im happy to have picked one of these up. While its not a difficult puzzle, and took only a few minutes for me to open the first time I played with one, it is well made, and its a fun puzzle. 88 $23.99 $23.99. Apparently theyre cold forged and the process is pretty difficult to get the results he needs. I have randomly chosen a parent who has a boy born on Tuesday and just one other child. 2.7M views 3 years ago Today I'm going to attempt to solve this very rare Level 10 Packman Cube Puzzle by Gary Foshee. 00. What is the chance they have two boys. If you only keep those who have at least one boy, you are left with 300 couples of parents. It consisted of the following three sentences: "I have two children. FREE delivery Fri, Mar 17 on your first order. In fact, only 27 can. If I see a tail first I say"At least one is a Tail". 2. At this point, youre probably yelling at the screen Use the hex tool, and youd think that would be useful. 7. One is a boy born on a Tuesday. Dont believe me? In the bottom corner is Garys little cartoon signature, which looks uncannily like the man himself. the people who are confused and cant see why it s not just 50/50 you are assuming that the FIRST child is a boy born on a tuesday, but the question says that ONE OF THE TWO (you dont know which) is a boy born on a tuesday. The question states that one child is a boy. What is the probability I have two boys?; the answer is 1/3. Gary Foshee, a collector and designer of puzzles from Issaquah near Seattle walked to the lectern to present his talk. Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. 4. ", David leaves the house to go school he walk 200 meters west and 125 meters north how far is he from his starting point.round to the nearest whole mete Tuesday is a distractor. Why do math aficionados get 1/3, while everyone else comes up with ? 13/27 is the answer to: To answer the question you need to first look at all the equally likely combinations of two children it is possible to have: BG, GB, BB or GG. So, since we are counting equally likely possibilities, we can only find an extra six possibilities here. "not sure of maker cool old puzzle for the 80's lover". (LogOut/ This has been demonstrated many times, but Ill try my hand at explaining it. But on only the first is it required that the parent tell you about the Tuesday Boy; in all the others, the chances are 1/2. Q2) Say I peek in the box, and tell you that there is (at least) one bronze coin inside. Lay out the variables: BtueBmon BtueBtue BtueBwed BtueBthu BtueBfri BtueBsat BtueBsun BtueGmon BtueGtue BtueGwed BtueGthu BtueGfri BtueGsat BtueGsun GmonBtue GtueBtue GwedBtue GthuBtue GfriBtue GsatBtue GsunBtue BmonBtue BwedBtue BthuBtue BfriBtue BsatBtue BsunBtue. It is only after actually specifying a day that it changes to 13/27. It seems they usually apply the same method of counting cases that Robin Ryder and Gary Foshee did. Bill Durrah, the original collector, picked up this puzzle and stored it away for 22 years. Image 2 shows that the stickers were simply stuck on top of a standard, already stickered Wonderful Puzzler cube. It was later licensed for distribution in the USA by Midway Games in October 1980. Why isn't the chance of the other child being a boy simply 50-50, and what on earthhas Tuesday got to do with it? (3x 2) (x 2) Gary Foshee: Craftsman: Gary Foshee: Category: Take-Apart: Material: Aluminum & Steel: The objective is to put all of the parts inside the cube using only the tools provided. Not so much. And so now you just get into raw numericy about what might have happened, as they did, with no notion of correlation or randomness, or prediction, which was your reaction. Yeah, I suppose he could have stated, assuming the chance of having a boy or girl is always 50/50 and the chance of having a child on any day of the week is equal but that would have been assumed at a math conference, particularly one for Martin Gardner.

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