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by zoe on October 23rd, 2007

zoe

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What is the probability of getting any of the red numbers three times in a row on a fair roulette wheel that has both "0" and "0"? (38 slots)

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  • by Quirkie on October 24th, 2007

    Quirkie

    The red numbers are 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 and in particular there are eighteen of them.
    probability of one red = 18/38 = 9/19

    Each spin is independent of the last so probabilities are multiplied.

    Probability of three in a row from your first attempt is 729/6859 - better than 1 in ten.

    As you continue to play, the probability that you got three in a row at some point during your game will increase.

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