Probability 4 Question 18

18. A bag contains 12 red balls and 6 white balls. Six balls are drawn one by one without replacement of which at least 4 balls are white. Find the probability that in the next two drawn exactly one white ball is drawn. (Leave the answer in nCr ).

(2004,4 M)

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Answer:

Correct Answer: 18. 12C26C418C610C12C112C2+12C16C518C611C11C112C2 19. 9m8N+m

Solution:

  1. Let A1 be the event exactly 4 white balls have been drawn. A2 be the event exactly 5 white balls have been drawn.

A3 be the event exactly 6 white balls have been drawn.

B be the event exactly 1 white ball is drawn from two draws. Then,

P(B)=PBA1P(A1)+PBA2P(A2)+PBA3P(A3)

But PBA3=0

[since, there are only 6 white balls in the bag]

P(B)=PBA1P(A1)+PBA2P(A2)=12C26C418C610C12C112C2+12C16C518C611C11C112C2



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