From the sample space SequalsStartSet 1 comma 2 comma 3 comma 4 comma ... comma 15 EndSet, a single number is to be selected at

Question

4 years ago

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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)

Mathematics

1 answer:

Lady bird [3.3K] · Answer 1 · 2022-01-17T06:17:51+03:00

Answer:

P(B and C) is 2/25

Step-by-step 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

From the sample space SequalsStartSet 1 comma 2 comma 3 comma 4 comma ... comma 15 EndSet​, a single number is to be selected at

From the sample space SequalsStartSet 1 comma 2 comma 3 comma 4 comma ... comma 15 EndSet, a single number is to be selected at