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Math Help - combined events and conditional probability

  1. #1
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    combined events and conditional probability

    When a roulette wheel is spun, the score will be a number from 0 to 36 inclusive. Each score is equally likely. Find the probability that the score is
    a) an even number
    b) A multiple of 3
    c) a multiple of 6
    d) an odd number which is not a multiple of 3

    I can do a, b, and c, but for d, is there a mathematical way to do it? I took a less mathematical approach and I just wrote out all the numbers from 0 to 36 and counted which numbers were odd and not a multiple of 3.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bhuang View Post
    When a roulette wheel is spun, the score will be a number from 0 to 36 inclusive. Each score is equally likely. Find the probability that the score is
    a) an even number
    b) A multiple of 3
    c) a multiple of 6
    d) an odd number which is not a multiple of 3

    I can do a, b, and c, but for d, is there a mathematical way to do it? I took a less mathematical approach and I just wrote out all the numbers from 0 to 36 and counted which numbers were odd and not a multiple of 3.
    Odd numbers on the wheel not multiples of 3 are 1, 5, 7, 11, 13, 17, 19, 23, 25, 29, 31, 35. That is there are 12 such numbers.

    CB
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