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tmua.me Medium Set C Paper 2 · Q12

Paper 2Probability

Bag AA contains three red balls and two blue balls. Bag BB contains two red balls and one blue ball.

One ball is chosen at random from bag AA and transferred to bag BB. Two balls are then chosen at random from bag BB, without replacement. At each choice, all balls then available are equally likely to be chosen.

Given that the two balls chosen from bag BB have the same colour, what is the probability that the transferred ball is one of those two balls?

A415\dfrac4{15}
B12\dfrac12
C712\dfrac7{12}
D35\dfrac35
E813\dfrac8{13}
F913\dfrac9{13}

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