Question

From the sample space SequalsStartSet 1 comma 2 comma 3 comma 4 comma ... comma 15 EndSet​, a single number is to be selected at random. Given the following​ events, find the indicated probability. ​A: The selected number is even. ​B: The selected number is a multiple of 4. ​C: The selected number is a prime number. ​P(B and​ C)

Answer 1

P(B and C) is 2/25

Explanation:

Set = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

A = even numbers

A = {2, 4, 6, 8, 10, 12, 14}

B = Multiple of 4

B = {4, 8, 12}

C = prime number

C = {2, 3, 5, 7, 11, 13}

P(B) = 3/15 = 1/5

P(C) = 6/15 = 2/5

P(B and C) = 1/5 * 2/5 = 2/25