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A bag contains N balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue. Assume that the balls are identical otherwise. Three balls are drawn randomly one after the other without replacement. For i=1,2,3 , let W_i, G_i , and B_i denote the events that the ball drawn in the i^ th draw is a white ball, green ball, and blue ball, respectively. If the probability P (W₁ G₂ B₃ )= 2 5 N an

Correct answer

0

Step-by-step solution

Given P ( W ₁ G ₂ B ₃ )= 2 5 ~N and P ( B ₃ W ₁ G ₂ )= 2 9 aligned & P ( B ₃ W ₁ G ₂ ) P ( W ₁ G ₂ ) = 2 9 & 2 5 ~N N ( N -1) 3 6 = 2 9 & N =11 aligned

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