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You roll two fair dice a blue one and a yellow one

what is the probability of and odd on the blue die and 5 or 6 on the yellow die

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2 answers
  1. prob(odd on blue) = 1/2
    prob(5 or 6 on yello) = 2/6 = 1/3

    prob(odd on blue AND 5or6 on yellow)
    = (1/2)(1/3) = 1/6

    Proof and check:
    There are 36 possible ways for the 2 dice to fall

    the ones you want are:
    1 5
    1 6
    3 5
    3 6
    5 5
    5 6, which is 6 of them
    so prob(as stated) = 6/36 = 1/6

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  2. sara and sam are rolling dice. they are using two dice. if sara rolls a 4,9,10, or 12, sam will pay her $100

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