If \(U = \{x : x\text{ is an integer and }1 \le x \le 20\}\) \(E_1 = \{x : x\text{ is a multiple of }3\}\) \(E_2 = \{x : x\text{ is a multiple of }4\}\) and...

Assessment: JAMB UTME - Mathematics - 2000 Subject: General Mathematics

Question 1 Report

If \(U = \{x : x\text{ is an integer and }1 \le x \le 20\}\)

\(E_1 = \{x : x\text{ is a multiple of }3\}\)

\(E_2 = \{x : x\text{ is a multiple of }4\}\)

and an integer is picked at random from \(U\), find the probability that it is not in \(E_2\)

Answer Details
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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