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There are two urns. The first urn has 2 black balls and 1 white ball inside and there are 2 black balls and 2 white balls in the second Urn. You ask your friend to randomly choose an Urn and pick 2 balls one by one with no replacement. 1c) If one black and one white ball are selected, what is the probability that your friend selects the Urn with 3 balls inside? 1d) If we repeat this experiment from the beginning with 5 different friends. What is the probability that 2 of them get 2 black balls? 1e) On average (expected value) how many of those 5 friends will get 2 black balls?

There are two urns. The first urn has 2 black balls and 1 white ball inside and there are 2 black balls and 2 white balls in the second Urn. You ask your friend to randomly choose an Urn and pick 2 balls one by one with no replacement. 1c) If one black and one white ball are selected, what is the probability that your friend selects the Urn with 3 balls inside? 1d) If we repeat this experiment from the beginning with 5 different friends. What is the probability that 2 of them get 2 black balls? 1e) On average (expected value) how many of those 5 friends will get 2 black balls?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 83CR
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There are two urns. The first urn has 2 black balls and 1 white ball inside and there are 2 black balls and 2 white balls in the second Urn. You ask your friend to randomly choose an Urn and pick 2 balls one by one with no replacement. 1c) If one black and one white ball are selected, what is the probability that your friend selects the Urn with 3 balls inside? 1d) If we repeat this experiment from the beginning with 5 different friends. What is the probability that 2 of them get 2 black balls? 1e) On average (expected value) how many of those 5 friends will get 2 black balls?
Transcribed Image Text:There are two urns. The first urn has 2 black balls and 1 white ball inside and there are 2 black balls and 2 white balls in the second Urn. You ask your friend to randomly choose an Urn and pick 2 balls one by one with no replacement. 1c) If one black and one white ball are selected, what is the probability that your friend selects the Urn with 3 balls inside? 1d) If we repeat this experiment from the beginning with 5 different friends. What is the probability that 2 of them get 2 black balls? 1e) On average (expected value) how many of those 5 friends will get 2 black balls?
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