. Bag A contains 7 red and 6 black balls and Bag B contains 6 red and 9 black balls. One ball is transferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn is found to be red in colour. Find the probability that the transferred ball was black.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. Bag A contains 7 red and 6 black balls and Bag B contains 6 red and 9 black balls. One ball
is transferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn
is found to be red in colour. Find the probability that the transferred ball was black.
2. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third
is a biased coin that comes up tails 25 percent of the time. When one of the three coins is
selected at random and flipped, it shows heads. What is the probability that it was the
two-headed coin?
Transcribed Image Text:1. Bag A contains 7 red and 6 black balls and Bag B contains 6 red and 9 black balls. One ball is transferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn is found to be red in colour. Find the probability that the transferred ball was black. 2. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up tails 25 percent of the time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?
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