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Five numbers are selected from 1,   2 ,   3,   4 ,   5,   6 ,   7 ,   8 and 9 . The probability that their product is divisible by 5 or 7 is

Options

  1. A1 4
  2. B3 4
  3. C5 6
  4. D1 6

Correct answer

C. 5 6

Step-by-step solution

A = product of 5 numbers is divisible by 5 B = product of 5 numbers is divisible by 7 Total cases = C 9 5 P A ∪ B = P A C ∩ B C C = 1 - P A C ∩ B C = 1 - C 5 7 C 5 9 = 1 - 21 126 = 1 - 1 6 = 5 6

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