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

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

  • A.
    (frac{3}{11})
  • B.
    (frac{2}{9})
  • C.
    (frac{5}{14})
  • D.
    (frac{5}{13})
Correct Answer: Option 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

There is an explanation video available below.

Explanation Video