Though Demaine became interested in them and in origami for purely playful purposes, they have resulted in some of his most important academic research. How to play B-Cubed on your phone. GO!!! Includes Address (20) Phone (3) Email (6) See Results. ", 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 You either you do or you dont. So we can eliminate the GG, leaving us with just three options: BG, GB and BB. * In an episode of 'The Infinite Monkey Cage' on BBC Radio 4, Richard Wiseman posed the puzzle in minimalist form: "he has two children, one of them is a boy", leaving out the "at least", just as Gary Foshee did. The game is available to play directly within the Google search results page, and features the familiar Pac-Man character navigating through a maze while collecting dots and avoiding ghosts. Of course there are things that youll find useful, and the puzzle has much more hidden around it than youd think at first. And that even though you have no timeline to refer to the children as different people, they still can be counted as distinct entities. (Yes, this is one of those things Drew and I agree on. Mark Setteducati was a prime example, and he also wore a dandyish black shirt. And the reason the 13/27 answer seems absurd, is because it is based on the un-implied assumption that Gary Foshee was required to tell you about a Tuesday Boy. Q1) Obviously, not all can ask it about Tuesday Boys, as Gary Foshee did. Seems like nonsense to me, too. 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). Because it doesn't have a 'right' answer. As for the Tuesday nonsense, if there was anything real to this at all, the whole of logic in this universe would be vastly different. For example, computer scientist Craig Kaplan from the University of Waterloo in Ontario, Canada, spoke of different ways to design parquet tiles that morph from one shape to another as they cross the floor. The audience was silent as they pondered the question. At the opposite end of the age spectrum was Neil Bickford, aged 12, a mathematics blogger from San Jose, California. 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. If you consider BG and GB as the same, then you must admit the probability of that case is 50%. Just an assumptionNo offense for anybody! Richard shares a variation (imagined by Gary Foshee) which I find counter-intuitive: I have two children. They have a section on a boy named Jacob, which is comparable to the boy born on a Tuesday issue. There are 13 options that provide 2 boys, out of 27 given options. Am I missing something major here? HT and TH are different cases, but if you want to consider them as one case, then you have to admit the probability of getting one head and one tail is 50%. Sorry, meant to say births rather than coin flips in the previous post. Condition: Used. What are the chances it contains only one type of coin? I have two children. Wolfram attended the G4G with his wife and two of his four children. Somebody says: "I have two children, (at least) one of them is a boy. If not, I cant help ya. 27 and 13. Of these 14 half, 7 will have a sister Most of my concern with the way the puzzle is usually posed is that it is the parent of the children who 'spontaneously' reveals the information about their child. And its easy enough to show this: flip a coin once. Q2) Say I peek in the box, and tell you that there is (at least) one bronze coin inside. Q1) You pick a box at random. Remove all of the cubes on your way to the red one. One should take in account what instances they are excluding as much as what they are including. One of them is a boy. This has been demonstrated many times, but Ill try my hand at explaining it. Unfortunately, Gary has very helpfully rounded over the ends of the hex tool, making it entirely useless. Naturally doing so changes the probability. If fair, despite that 6 6s in a row may have come up, the odds of another 6 on the next roll is 1/6th. 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. Made it through the Cal State systems junior level calculus, just as much as I needed for a Chem BS. The remaining cases are BB, BG, and GB, all still of equal probability. What is the probability I have two boys?. Doh. No doubt. ' said Foshee, deadpan. Change). 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. One possibility is that families with two girls were excluded in which case the answer is 1/3. It is a rare puzzle, it is an old puzzle, it is rated a 10 by Chris Ramsey. The idea for the character came to him when he removed a slice from a pizza. 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. If you add instances where you have two boys with at least one boys being born on Tuesday (13) to the instances where you would have two boys with neither being born on Tuesday (36) (total of BB (49) and compare it to all the instances where you have one girl and one boy (98) you get back to your 1/3 ratios. The Tuesday/Tuesday scenario should be double counted each boy could be be born on either this or that Tuesday (ie a bit like there are two ways of getting heads and tails with 2 coins) therefore probablitiy is 14/28 + 50%. If you would ask them to describe specifically their first or second child that would be true but to have them choose either child at random than no. One contains only gold coins, one contains only bronze coins, and the other two contain one of each type. What Ive learned here isnt about math, its about mathematicians ;-), for some reason they assume that someone has stacked the deck, and given them a non-random sample. . The system is up for pre-orders for $399, but after that, the device will retail at $499 standard. Shop Now! First you have to eat a special food. Now if you label the births with a subscript of 1 and 2 respectively it isnt hard to see that B1B2 is not the same ordered pair as B2B1, so you cannot throw it out to end up with only 6 outcomes after all. We seem to be going in circles, and I come back to my original point. What is the probability I have two boys?; the answer is 1/3. credit and sources back to your website? 00 - help - There are many more free arcade games to play! If you look carefully at the coin toss analogy I made you will understand why. What is the chance they have two boys. The answer could be 13/27 or 1/2, but it can't be 1/3. Everyone finds probability questions mind-bending, even the worlds best mathematicians. Appreciate it! We get 7/14 or . Got ahead of myself. I'm a software developer professionally, but in my spare time I enjoy puzzling, and creating my own puzzles. One is a boy born on a Tuesday. The first thing you think is 'What has Tuesday got to do with it?' Well, it has everything to do with it. Now youre told that one is a boy. Erik Demaine, for example, is a former winner of the MacArthur fellowship, aka the genius award, and the youngest person in recent years to be made a professor at the Massachusetts Institute of Technology. The stuff about psychology, a 51-49 split, etc. My website May 2020 . I was lucky enough to be able to borrow one, and solve it, and at that point I kicked myself for not being quicker off the mark in trying to get one. This supposed to be easy: 1/2. NxNxN. But my reasoning was wrong. Unlike word or jigsaw puzzles, mechanical puzzles are hand-held objects that must be manipulated to achieve a specific goal. (Wow. That leaves us with the intuitively correct 50%. Because twins are usually born on the same day. Between 1957 and 1981 Gardner wrote the monthly Mathematical games column in Scientific American, which inspired a cult following. b) genetics matter; if you have a boy, you are more likely to have another boy. What are the odds that the coin came up heads both time I flipped it? One is a boy born on a Tuesday. (LogOut/ 2a. But Ill admit I didnt enjoy all those matrix maths in 5 function calculator days. Find the greatest common factor of 96 and 80 to figure out how many packs he can make. Of course, 12/27 is pretty damned close to 1/2. The first thing to remember about probability questions is that everyone finds them mind-bending, even mathematicians. pac-man. By the way, I really dislike the 7+7+7+6 formulation as well, although it does work out to the correct answer. As for your 3/7, once again you are taking a subset of the BB,GB,BG problem. An example of this is the L-shaped tile. In 2008, the Davie Brown Celebrity Index found that 94% of American consumers recognized Pac-Man, more often than they recognized most human celebrities. As a melting pot of outside-the-box abstract thinking, this gathering is one of a kind. Our possible situations are: Summing up the totals, there are 7 + 7 + 7 + 6 = 27 different equally likely combinations of children with specified gender and birth day, and 13 of these combinations are two boys. My expectation, based not on math, but on framing of the Boy/Tuesday problem, that it was a random selection of a family, and that Boy/Tuesday were observations about that random sample. - 30109021. davionwilliam5157 davionwilliam5157 . Martin Gardner, who inspired the gathering we report on in this article, died on Saturday. There is also a version with an edible ghost instead of a key. 3a. 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 figured, its 50/50 and the Tuesday was a distractor. [At least] one is a boy. . 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. Posts about gary foshee written by Mark Widdicombe. Everything else being argued depends upon some additional, fanciful information that is beyond the statement of the problem, as well as changing the ground rules midstream which is the primary mistake made in the solution offered as well as by Franklin. Im honestly not sure where youre getting the sometimes independent and sometimes dependent argument from. 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. The next step is to try to answer a similar but simpler question so that we can isolate what the question is really asking. Lets list the equally likely possibilities of children, together with the days of the week they are born in. Pac Man Puzzle - Etsy Find something memorable, join a community doing good. Play Pac-Man through the Google maze! You may click to consent to our and our partners' processing as described above. Either one of two cases is possible. Heh. They have been asked to describe the sex of one of their children, and have replied boy. 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. 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