Q4 The winners of a provincial scholarship, as a condition of the scholarship, had to attend one of three provincial universities. Of those students on the scholarship, 40% attended Concordia, 40% attended McGill, and 20% attended Bishop’s. The probability that a scholarship student attending Concordia subsequently becoming rich is 0.4, attending McGill is 0.35, and attending Bishop’s is 0.2. If you meet one of these former scholarship students and learn they are rich, what is the probability that they attended Concordia?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Q4 The winners of a provincial scholarship, as a condition of the scholarship, had to attend one
of three provincial universities. Of those students on the scholarship, 40% attended Concordia,
40% attended McGill, and 20% attended Bishop’s. The probability that a scholarship student
attending Concordia subsequently becoming rich is 0.4, attending McGill is 0.35, and attending
Bishop’s is 0.2. If you meet one of these former scholarship students and learn they are rich,
what is the probability that they attended Concordia?
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