(LogOut/ credit and sources back to your website? Shell's Collection (Maintenance in Progress). If you want to know why Tuesday can change the answer, look for explanations online, for example by Alex Bellos. See images 13-14. A2) You have no information that would allow you to expect the number of questions to be different for different descriptions. One last analogy before bed. Tomid They require that, to get the 1/3 answer. When the first child is a BTu and the second is a girl born on any day of the week: there are seven different possibilities. 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. Plastic wrap made from seaweed withstands heat and is compostable, Great Pacific Garbage Patch hosts stable community of coastal animals, How to watch the Lyrids meteor shower tonight, a cross between a snowflake and a small craft from an early, cellular automata can recreate the universe. Gary Foshee Excalibur. Inventor: Unknown merchandising designer; Mechanism: 3x3x3; Patents: Unknown; Producer: Wonderful Puzzler; Year: 1986; Original Price: $0.00 USD; Current Price: $13.5 USD. If it helps, it could also be stated as at least one is a boy. Either way, this only eliminates one case: GG. 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. During the Puzze Exchange, I asked Gary and he directed me to Wil alsoglad I managed to get my hands on an Open Lock. Now we can repeat this technique for the original question. This is a much easier question, though a controversial one as I later discovered. When the first child is a girl born on any day of the week and the second is a BTu: again, there are seven different possibilities. 2. One is a boy born on a Tuesday. 4. I absolutely love this. Note to JJ: Second to last sentence should read 13/27 not 12/27. Unfortunately, its not going to be quite that easy to open the shackle, and if were honest you wouldnt want it to be that easy. There are 2 cups left, but the probability remains that your first choice is 1/3. Get the best deals on Nintendo GameCube Pac-Man Video Games and expand your gaming library with the largest online selection at eBay.com. On average, 100 have 2 boys, 100 have 2 girls and 200 have a boy and a girl (100 had a boy then a girl, and 100 had a girl then a boy). When the first child is a girl born on any day of the week and the second is a BTu: again, there are seven different possibilities. The audience was silent as they pondered the question. One possibility is that families with two girls were excluded in which case the answer is 1/3. Yes if they are twins the probability of both being born on the same day is much higher. Therefore the probability of having BB is still 1/3. Rob Eastaway 2013-2020 | Privacy Policy | Disclaimer | Cookie Policy. Grumpy Old Man (And His Voyages in the Shady Lady) . What is the probability I have two boys? I get 3/7 Is this analogous to Charles Austins NFL games and coin tosses? One is a boy born on a Tuesday. 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. I should know. Gary Froshee imagined a similar problem, also with the same flaw. First you have to eat a special food. One is a boy born on a Tuesday. The Jigazo is a jigsaw puzzle that can be customised to display any picture you want. There is also a version with an edible ghost instead of a key. 1. Q1) Obviously, not all can ask it about Tuesday Boys, as Gary Foshee did. But, of the 27 permutations we had a double chance of picking the BTu:Btu one. Now aged 29, he presented to the gathering some typefaces that he had invented as a result of his academic work in computational geometry. The goal here is to make all the pieces of the cube fit inside the cube enjoy!1000's of PUZZLES Available here: http://www.puzzlemaster.ca/?a=681162___INSTAGRAM: https://www.instagram.com/chrisramsay52TWITTER: https://www.twitter.com/chrisramsay52__LEARN A TRICK I CREATED HERE: https://sellfy.com/p/OiqQ/LIKED A SONG I USED? The answer could be 13/27 or 1/2, but it can't be 1/3. Gary Foshee created a popular probability puzzle that goes like this: "I have two children. It states one of the children is a boy. Tomid Tony Fisher Rubik-like Cubes. 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. Sorry, meant to say births rather than coin flips in the previous post. 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. The next step is to try to answer a similar but simpler question so that we can isolate what the question is really asking. PACKMAN by Gary Foshee, IPP20 Los Angeles 2000 Home Sequential Discovery ID: 113785 Closed Details Seller History PACKMAN by Gary Foshee, IPP20 Los Angeles 2000 $2,550.00 Closed Place Bid USD Minimum Bid: $2,600.00 37 bids Place Bid Wish List Description Payment Questions & Answers Seller's Other Items The main bone of contention was how to properly interpret the question. (3x 2) (x 2) 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. Somewhere it says we are to discount one option of BTu-BTu, but I dont think we should. By the way, I really dislike the 7+7+7+6 formulation as well, although it does work out to the correct answer. Price: US $18.00. How many pencils and erasers will be in each one?. One should take in account what instances they are excluding as much as what they are including. A4) You have no information that would allow you to expect the fraction of same-gender families to be different for different questions. I think youre right, Lloyd. You bump into somebody in a shopping mall and ask them: Set up this way, I agree that there is a 1/3 chance that the other child is a boy. The 13/27 answer is the right answer to a different question, which is: You will get roughly 25% HH, 25% HT, 25% TH, and 25% TT. Please visit my web site, "www.PuzzleManiac.com", for my other puzzles -- including some very rare custom cubes. You will also notice the hex head inside the shackle, and youll probably make the obvious leap that its useful, and that you should probably do something with it. They have been asked to describe the sex and birth date of one of their children, and have replied boy Tuesday. I have two children. This was first presented in 2000 at the IPP Los Angeles and although looks simple enough, proves to be quite tricky. I have collected more than 800 different kinds of Rubik's style puzzles so far. That version comes with three pre-installed games. Thats just evidence that this is all just numeric idiocy. Ive been slowly adding to my collection of trick locks over the last few years, and first saw the Transparent Lock by Gary Foshee a couple of years back, but sadly missed out back then as they sold incredibly quickly. ), Yes, this is one of those things Drew and I agree on. If you consider BG and GB as the same, then you must admit the probability of that case is 50%. Check them now! Puzzle Master offers a complete range of Designers puzzles, games & more. When I flip two coins, my rule is that I always look at one of them at random. Their numbers are correct but it leads people to think it says something it doesnt. In fact, only 27 can. By sheer coincidence, every one of them has a different combination of (gender,day)x(gender,day) for their two children. An example of this is the L-shaped tile. A well-known probability riddle is I have two children. 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. 4. But it was still an invented scenario, not one that's actually happened. What I mean by that is this: Introduction. I am not a mathematician so cannot express this in mathematical terms, but I am still sure it is right! Solve the following. . It contains 300 identically shaped pieces that are all a different shade of blue, and all have a unique symbol on the back. The two disciplines are happy bedfellows: both exhibit a wonder at the structure of the world, and seek playful ways to subvert it. As with most probability exercises there is an assumption of all else being constant. One is a boy born on a Tuesday. Or inversely you are including 75%(3 out 4) of the first set and 50% (4 out 8) of second set. Needless to say, or so I thought, it doesnt work that way. Carolyn Yackel, who is best known for her book Making Mathematics with Needlework, demonstrated that the number of L-tiles you need to make into a bigger L is always a square: 4, 9, 16 and so on. In 1 family both children are boys born on a Tuesday Gardner initially gave the answers 1/2 and 1/3, respectively; but later acknowledged[1] that the second question was ambiguous. When they count families with at least one boy, they count four of them: two where the older child is a boy and the younger is either a boy or a girl, and two where the younger child is a boy and the older is either a boy or a girl. Twins. Wolfram attended the G4G with his wife and two of his four children. It is in a good condition . 1. Doodles are the visual representations of the Google logo on the main page of their search engines, doodles that can have different designs when there is a special occasion to be celebrated, and this time it is the release of the Pacman game, without a doubt one of the most iconic arcade games in the world. Pac-Attack ( Pakkuatakku), also known as Pac-Panic ( Pakkupanikku), is a puzzle game released by Namco in 1993. All probabilities are 50% something either happens or it doesnt. Rubik's Cube; V-Cube; Meffert's Rotational Puzzles; 2x2; 3x3; 4x4; 5x5; Other Rotational Puzzles; Jigsaws. The assumption is that we must know whether John was born before or after Sue, yet this assumption isnt applied to whether John is born before or after Jacob, or whether Sue is born before or after Sally. This information is filtered and carefully moderated, but incorrect information will inevitably find its way into the system. The answer given is the answer to the question What are the chances of having two boys, one of whom was born on a day other than a Tuesday, given that one of them is a boy who was born (irrelevantly) on a Tuesday. The game is played on single-screen boards mostly filled with ghosts. The hinged dissection font is a font in which each letter can be made from the same linked chain of 128 identical isosceles triangles. Given how solid it is, its easily a puzzle that you can pass round and let people play with, and theres really not much they can do wrong. Gary Foshee is a recreational mathematician, puzzle collector and designer from Issaquah,. One is a boy born on a Tuesday. Can anybody find a realistic situation that might genuinely arise - or even better, that has actually happened to you - where the probability that both Xs are Ys really IS 1/3? Well, that and a little knowledge can be a dangerous thing. What is the chance they have two boys. Franklin et al Until now, at least two different shapes of tiles were needed, such as Penroses famous kite and dart tiles. Bill Durrah, the original collector, picked up this puzzle and stored it away for 22 years. Pac-Man was created by game designer Toru Iwatani - he was just 24 at the time. One is a boy born on a Tuesday. Are the odds that the next game will be won by the team that wins the coin toss less than 50-50? 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. You have four possibilities but only three instances\events. What isthe chance that both are boys?". One. Reproducing the kidney cancer example from BDA. As a melting pot of outside-the-box abstract thinking, this gathering is one of a kind. He has 96 pencils and 80 erasers. 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. When the first child is a BTu and the second is a girl born on any day of the week: there are seven different possibilities. This is more straightforward than that, and youre hardly the only one around here who has taken classes in logic. To be clear the options BG and GB indicate the order of births (or dice rolls etc), for GB to be a possible outcome the first child would have to be a girl. Because twins are usually born on the same day. Pac-Man, now with ghosts. Lets list the equally likely possibilities of children, together with the days of the week they are born in. 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