If U = {x : x is an integer and 1 \(\leq\) x \(\leq\) 20...

JAMB 2000

If U = {x : x is an integer and 1 \(\leq\) x \(\leq\) 20
E₁ = {x : x is a multiple of 3}
E₂ = {x : x is a multiple of 4}
and an integer is picked at random from U, find the probability that it is not in E₂

A. 3/4
B. 3/10
C. 1/4
D. 1/20

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Correct Answer: Option A

Explanation

U = {1, 2, 3, 4, 5,..., 20}
E₁ = {3, 6, 9, 12, 15, 18}
E₂ = {4, 8, 12, 16, 20}
P(E₁) = 5/20
P(not E₁) = 1 - (5/20) = 15/20 = 3/4

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If U = {x : x is an integer and 1 \(\leq\) x \(\leq\) 20...

Correct Answer: Option A

Explanation

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