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A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any factor of 6 on the other?

Science & Mathematics by Anonymous 2018-05-18 21:37:19

Social Science

A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any factor of 6 on the other?

2 answers

  • Anonymous

    p(even number first, factor of 6 next) = p(even number) * p(factor of 6) = p(2, 4, or 6) * p(1, 2, 3, or 6) = 3/6 * 4/6 = 1/2 * 2/3 = 1/3

  • Anonymous

    A = even number on the first die are {2,4,6} P(A) = 3/6 = 1/2 B = any factor of 6 on the second die are {1,2,3,6} P(B)= 4/6 = 2/3 P(A and B) = (1/2)(2/3) = 1/3

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