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Urn Acontains 2 white balls and 1 black ball, whereas urn
Chapter 3, Problem 4STE(choose chapter or problem)
Problem 4STE
Urn Acontains 2 white balls and 1 black ball, whereas urn Bcontains 1 white ball and 5 black balls. A ball is drawn at random from urn Aand placed in urn B.A ball is then drawn from urn B. It happens to be white. What is the probability that the ball transferred was white?
Questions & Answers
QUESTION:
Problem 4STE
Urn Acontains 2 white balls and 1 black ball, whereas urn Bcontains 1 white ball and 5 black balls. A ball is drawn at random from urn Aand placed in urn B.A ball is then drawn from urn B. It happens to be white. What is the probability that the ball transferred was white?
ANSWER:
Step 1 of 2
(a)
We are asked to find the probability that the ball transferred was white.
Given an urn A contains 2 white balls and 1 black ball.
An urn B contains 1 white balls and 5 black balls.
A ball is then drawn from urn B. It happens to be white.
Let denote the white ball.
Let denote the black ball.