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A boy has two bags of apples, in each bag is 10 apples, and the apples are distributed so, that in the first bag there

A boy has two bags of apples, in each bag is 10 apples, and the apples are distributed so, that in the first bag there is seven ripe apples and 3 raw apples, and on the second bag there are 3 ripe apples and 7 raw apples. The boy lets his friend first choose one of the bags at random.

What is the probability that after eating half of the apples in the chosen bag, two of them where raw and that his friend had chosen bag number two?

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