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Three numbers are chosen at random without replacement from 1,2,3, . .8 . The probability that their minimum is 3 , given that their maximum is 6 , is

Options

  1. A3 8
  2. B1 5
  3. C1 4
  4. D2 5

Correct answer

B. 1 5

Step-by-step solution

Let A be the event that maximum is 6 . B be event that minimum is 3P(A)= ^5 C₂ ^8 C₃ (the numbers 3 are 5 ) P(A B)= ^2 C₁ ^8 C₃ Required probability is P ( B A )= P ( A B ) P ( A ) = ^2 C ₁ ^5 C ₂ = 2 10 = 1 5 .

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