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Question

A bag contains 3 red and 7 black balls, two balls are taken out at random without replacement. If the first ball taken out is red, then the probability that the second taken out ball is red:

A
110
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B
115
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C
310
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D
221
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Solution

The correct option is B 115
Total no. of balls = 10
P(drawing one red ball) = 310 ( red ball = 3)
P(drawing second red ball without replacement) = 29
Required probability =310×29=115

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