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One box contains 2 green balls and 7 red balls, a second box contains 4 green balls and 3 red balls. Let us denote the

One box contains 2 green balls and 7 red balls, a second box contains 4 green balls and 3 red balls. Let us denote the first box with B1 and the second box with B2. Assume we select a box randomly and we select a ball form it. If we observe that the selected ball is red, what is the probability that this ball came from the first box? Please compute.

Hint: You can use the Bayes' Rule:

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