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Bag A contains 2 white and 3 red balls, ...

Bag A contains 2 white and 3 red balls, and bag B contains 4 white and 5 red balls. One ball is drawn at randow from one of the bags and it is found to be red. Find the probability that it was drawn from bag B.

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To solve the problem, we will use Bayes' theorem, which allows us to find the probability of an event based on prior knowledge of conditions related to the event. ### Step-by-step Solution: 1. **Define Events**: - Let \( E_1 \): the event that the ball is drawn from Bag A. - Let \( E_2 \): the event that the ball is drawn from Bag B. - Let \( R \): the event that the ball drawn is red. ...
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