Question

A bag contain 6 Red and 4 White balls. 4 balls are drawn one by one without replacement and were found to be atleast 2 white. If the next draw of a ball from this bag will give a white ball then the probability that the drawn of four balls initially contain two white and two red balls.

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Solution

A bag contains 6 red and 4 white balls

P(2 red balls ξ 2 white balls )

⇒6C24C210C4=6×15210=1514

Total outcomes 10C4

Hence, the answer is 10C4.

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