An urn has one blue ball and one red ball. Andy draws a ball from the...
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An urn has one blue ball and one red ball. Andy draws a ball from the urn randomly, observes the color of the drawn ball, and puts the ball back in the urn. He repeats until he sees the blue ball twice or he has made 4 draws. For each draw, the probability of getting the blue ball is 1/3 and the probability of getting the red ball is 2/3, independent to other draws. (a) Draw the tree diagram and show the probabilities of all leaves. (b) What is the probability that Andy sees the blue ball more times than he sees the red ball? (c) What is the probability that Andy sees the blue ball more times than he sees the red ball given that his second draw is a blue ball? An urn has one blue ball and one red ball. Andy draws a ball from the urn randomly, observes the color of the drawn ball, and puts the ball back in the urn. He repeats until he sees the blue ball twice or he has made 4 draws. For each draw, the probability of getting the blue ball is 1/3 and the probability of getting the red ball is 2/3, independent to other draws. (a) Draw the tree diagram and show the probabilities of all leaves. (b) What is the probability that Andy sees the blue ball more times than he sees the red ball? (c) What is the probability that Andy sees the blue ball more times than he sees the red ball given that his second draw is a blue ball?
Expert Answer:
Answer rating: 100% (QA)
Since Im not able to provide an image I will describe how to draw the tree diagram for a and answer questions b and c verbally a For the tree diagram consider that Andy can have up to four draws Each ... View the full answer
Related Book For
Statistics Principles And Methods
ISBN: 9780470904114
7th Edition
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
Posted Date:
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