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Four fair dice are rolled at the same time. What is the probability that at least one of the dice will show 3?

Four fair dice are rolled at the same time. What is the probability that at least one of the dice will show 3? Asked by Tierra2011 2 months ago Similar questions: fair dice rolled time probability show Games & Leisure > Board Games.

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Similar questions: fair dice rolled time probability show.

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The probability that at least one will show a 3 is the inverse probability (1 minus whatever you got).

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1 chance out of 6 x 4 dice = 4 chances out of 6.

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Probability theory really got going in 1654 with a famous correspondence between the two famous mathematicians Blaise Pascal and Pierre de Fermat, sparked off by a gambling addict by the name of Antoine Gombaud, who went by the name of the “Chevalier de Méré” (although he wasn’t actually a nobleman of any sort). The Chevalier de Méré had played a lot of dice games in his time and, although he didn’t have a rigorous mathematical theory of how they worked, he nevertheless felt he had an intuitive “feel” for what was a good bet and what wasn’t. In particular, he had done very well financially by betting at even money that he would roll at least one six in four rolls of a standard die.It’s quite an easy matter to use the rules of probability to see why he was successful with this game.

The odds that a single roll of a fair die yields a six is 1/6. The probability that it does not yield a six is therefore 5/6. The probability that four independent rolls produce no sixes at all is (the probability that the first roll is not a six) times (the probability that the second roll is not a six) times (the probability that the third roll is not a six) times (the probability that the fourth roll is not a six).

Each of the probabilities involved in this multiplication is 5/6, so the result is (5/6)^4 which is 625/1296. But this is the probability of losing. The probability of winning is 1-625/1296 = 671/1296=0.5177, significantly higher than 50%.

Since you’re more likely to win than lose, it’s a good bet. "http://telescoper.wordpress.com/tag/chevalier-de-mere/ com/tag/chevalier-de-mere.

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Three dice are rolled. Find the number of possible outcomes in which at least 1 dice shows 4" "if a die is rolled four times, what is the probability it lands on 6 on the 1st,3rd and 4rth roll but not on the 2nd rol" "Nostalgia Time - Board Games" "Would you, could you - at the fair? It's state fair time again, and that means.....FAIR FOOD!" "Determine the probability that on rolling 3 dice that the highest die will be 6 and the next highest 4" "If you roll two six-sided dice, what is the probability that at least one die shows a 1, 2, 3, or 4, or the sum is odd?

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" "It's getting closer to Fair time here! (see details)" "If three fair 6-sided dice are rolled, what is the probability that all three numbers wil be the same?

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Three dice are rolled. Find the number of possible outcomes in which at least 1 dice shows 4.

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If a die is rolled four times, what is the probability it lands on 6 on the 1st,3rd and 4rth roll but not on the 2nd rol.

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It's state fair time again, and that means.....FAIR FOOD!

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Determine the probability that on rolling 3 dice that the highest die will be 6 and the next highest 4.

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If roll a dice four times. What is the probability of rolling 1, 2, 3, and 4?

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It's getting closer to Fair time here! (see details).

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