Question

There are two bags A and B. A contains n white and 2 black balls. B contains 2 white and n black balls. One of the two bags is selected at random and two balls are drawn from it without replacement. If both the balls drawn are white and the probability that the bag A was used to draw the balls is 6/7. Find the value of n.

Answer #1

There are two bags of balls. There are 60 white balls and 40
black balls in the first bag. The second bag contains 70 white
balls and 30 black balls. Randomly choose one bag and then randomly
get one ball from that bag. If you get a black ball, throw a coin
and if the coin lands head, report black otherwise report white. If
you get a white ball, report white ball. If we get a report of a
black...

q1)Suppose that we have two bags each containing black and white
balls. One bag contains two times as many white balls as black
balls. The other bag contains two times as many black balls as
white. Suppose we choose one of these bags at random. For this bag
we select five balls at random, replacing each ball after it has
been selected. The result is that we find all balls are white
balls. What is the probability that we were...

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If we draw a sample of 3 balls (i.e., picking without
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