Boy has two bags of plums. Each bag has 10 plums but: In Bag 1 there is 7 ripe and 3 raw plums In Bag 2 there is 3 ripe and 7 raw plums Boy has to randomly choose one bag. What is the probability that the boy has picked Bag number 2 if after eating half of his bag, he realizes that 2 of the plums he has eaten are raw?

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