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Question

# A bag contains 7 red and 2 white balls and another bag contains 5 red and 4 white balls. Two balls are drawn, one from each bag. The probability that both the balls are white, is

A
29
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B
23
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C
881
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D
3581
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Solution

## The correct option is C 881Both the bags contain 9 balls each. We have to select one ball each from both of these boxes out of the 9 balls available. That can be done in 9C1 ways each. For the favorable outcomes, we have to select 1 white ball from the first box out of the 2 white balls and 1 from second balls which has 4 white balls. Therefore required probability =2C19C1×4C19C1 =881

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