Urn I contains 3 black and 2 white balls

MATHEMATICS · Single correct · A Level · Mathematics · Probability · Probability

Problem

Urn I contains 3 black and 2 white balls, while Urn II contains 4 black and 5 white balls. One ball is transferred from Urn I to Urn II (without observing its colour). Then one ball is drawn from Urn II. What is the probability that this drawn ball is black? (a) 12\dfrac12 (b) 2350\dfrac{23}{50} (c) 25\dfrac25 (d) 49\dfrac49

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