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22 July, 11:31

a fair (6 sided) die is rolled TWO times. What is the probability that the first die is a 2 or the second die is a prime

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  1. 22 July, 11:46
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    The probability that the first die is a 2 or the second die is a prime = 1/12

    Step-by-step explanation:

    It is given that, a fair (6 sided) die is rolled TWO times.

    The sample space for rolling 2 dies

    (1, 1), (1, 2) ... (1,6)

    (2,1) ...

    .

    .

    (6, 1) ... (6, 6)

    There are total of 6^2 = 36 sample space

    To find the probability

    The prime numbers from 1 to 6 are 2, 3 and 5

    the possible outcomes are (2,1), (2, 3) and (2, 5)

    The probability that the first die is a 2 or the second die is a prime = 3/36 = 1/12
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