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12 December, 11:59

A probability experiment consists of rolling a a 6 6 -sided die. find the probability of the event below. rolling a number with exactly 2 not necessarily unique prime factors number with exactly 2 not necessarily unique prime factors

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  1. 12 December, 14:30
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    The outcomes on rolling a 5-sided die are : {1,2,3,4,5,6}

    The factors of these outcomes are:

    1 = 1 x 1

    2 = 1 x 2

    3 = 1 x 3

    4 = 2 x 2

    5 = 1 x 5

    6 = 2 x 3

    1 is not a prime number. So the numbers which have 2 prime factors are 4 and 6.

    Thus, number of favorable outcomes = 2

    The probability of rolling a number with exactly 2 prime factors = 2/6 = 1/3
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