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Q1. Bag A contains 3 red and 4 green balls.
Bag B contains 4 red and 5 green balls.
One ball is drawn at random from one of the bags and found to be red. What is the probability that it was drawn from Bag A?
Q2. A man is known to speak truth 3 out of 4 times.
He throws a die and reports that it is a six.
Find the probability that it is actually a six.