Conditional Probability : Matriculation Rates ( Medical School) Matriculated Not

Question

Conditional Probability
: Matriculation Rates ( Medical School)
Matriculated Not Total
UCLA 54 89 143
UM 85 398 483
MSU 35 231 266
Total 174 718 892
You randomly choose a student out of the population of the 892 students.
(a) Let A be the event that the student came from UCLA, and B be the
event that the student matriculated at the school. Calculate P(B|A). Also
calculate P(A|B).
(b) When the chosen student matriculated at the medical school, what is
the (conditional) probability that the student came from UM?

Explanation / Answer

P(A)=P(Student is from UCLA)=143/892

P(B)=P(Student matriculated at the school)=174/892

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