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

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

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