Two numbers x and y are selected at random between 0 and 1. Let the events A, B and C t defined as follows: A = {x > 1/3}, B = {y > 2/3} and C = {x > y}. Please find the probability of A given C. O a. 1/4 O b. 3/4 O. 5/9 O d. 8/9
Two numbers x and y are selected at random between 0 and 1. Let the events A, B and C t defined as follows: A = {x > 1/3}, B = {y > 2/3} and C = {x > y}. Please find the probability of A given C. O a. 1/4 O b. 3/4 O. 5/9 O d. 8/9
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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![Two numbers x and y are selected at random between 0 and 1. Let the events A, B and C be
defined as follows:
A = {x > 1/3}, B = {y > 2/3} and C = {x > y}.
Please find the probability of A given C.
a. 1/4
O b. 3/4
O c. 5/9
O d. 8/9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1cb8493-c5f6-43cf-9d83-93913534dde9%2Fe1576551-014e-4626-8c1e-a7dc458b36a5%2Fnc435t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Two numbers x and y are selected at random between 0 and 1. Let the events A, B and C be
defined as follows:
A = {x > 1/3}, B = {y > 2/3} and C = {x > y}.
Please find the probability of A given C.
a. 1/4
O b. 3/4
O c. 5/9
O d. 8/9
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