Problem 3. There are three urns labelled as u1, u2 and u3; initially u1 contains 2 black balls and 3 white balls, u2 has 1 black ball and 4 white balls, and uz holds 3 black balls and 2 white balls. We first mix the balls in u1, randomly draw a ball from u1, place it in u2; next, mix the balls in u2, randomly draw a ball from u2 and place it in u3; finally, mix the balls in uz and randomly draw a ball from uz. (i) What is the probability that the ball drawn from u2 is white? (ii) What is the probability that the ball drawn from uz is white? (iii) Given that the ball drawn from uz is white, what is the probability that the ball drawn from uz is white?

Problem 3. There are three urns labelled as u1, u2 and u3; initially u1 contains 2 black balls and 3 white balls, u2 has 1 black ball and 4 white balls, and uz holds 3 black balls and 2 white balls. We first mix the balls in u1, randomly draw a ball from u1, place it in u2; next, mix the balls in u2, randomly draw a ball from u2 and place it in u3; finally, mix the balls in uz and randomly draw a ball from uz. (i) What is the probability that the ball drawn from u2 is white? (ii) What is the probability that the ball drawn from uz is white? (iii) Given that the ball drawn from uz is white, what is the probability that the ball drawn from uz is white?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...

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