A student has applied for admission to two management Institutes A and B. He has assessed the chance of getting admission in A as 0.4 and B as 0.6. He also believes that the chance of getting admission in both as 0.2. Find the probabilities of the following events : (a) He will be successful in getting admission. (b) He will get admission in only one of the two institutes. (c) He will get admission in B, given that he has been admitted in A. (d) He will not get admission in A, given that he has not been admitted in B.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A student has applied for admission to two management Institutes A and B. He has assessed the chance of getting admission in A as 0.4 and B as 0.6. He also believes that the chance of getting admission in both as 0.2.
Find the probabilities of the following events : (a) He will be successful in getting admission. (b) He will get admission in only one of the two institutes. (c) He will get admission in B, given that he has been admitted in A. (d) He will not get admission in A, given that he has not been admitted in B.

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