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Find the probability that a number selected at random from 21 to 34 is a multipl...


Question

Find the probability that a number selected at random from 21 to 34 is a multiple of 3

Options

A) \(\frac{3}{11}\)

B) \(\frac{2}{9}\)

C) \(\frac{5}{14}\)

D) \(\frac{5}{13}\)

The correct answer is C.

Explanation:

S = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34}
n(S) = 14
multiples of 3 = {21, 24, 27, 30, 33}
n(multiples of 3) = 5
Prob( picking a multiple of 3) = 5/14

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Dicussion (1)

  • S = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34}
    n(S) = 14
    multiples of 3 = {21, 24, 27, 30, 33}
    n(multiples of 3) = 5
    Prob( picking a multiple of 3) = 5/14

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