JAMB - Mathematics (1985 - No. 32)

What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3?
\(\frac{7}{10}\)
\(\frac{3}{5}\)
\(\frac{4}{5}\)
\(\frac{3}{10}\)

Explanation

Simple Space: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10 = 10)

Prime: (2, 3, 5, 7)

multiples of 3: (3, 6, 9)

Prime or multiples of 3: (2, 3, 5, 6, 7, 9 = 6)

Probability = \(\frac{6}{10}\)

= \(\frac{3}{5}\)

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