6. Assume that you have applied to two universities ( call them A and B ) for yo

Question

6. Assume that you have applied to two universities ( call them A and B ) for your degree. In the past, 25% of students with similar credentials as yours who applied to university A were accepted. In the past, 30% of students with similar credentials as yours who applied to university B were accepted. Assume that the applications are independent of each other.

A) what is the probability that you will be accepted to both universities?

B) what is the probability that you will be accepted to at least one of the universities?

Explanation / Answer

25% of students with similar credentials as yours who applied to university A were accepted
30% of students with similar credentials as yours who applied to university B were accepted

a.
P( Both are accepted) = 0.25*0.30 = 0.075

b.
P(you will be accepted to at least one of the universities) = 1 - [ P( None Accepted) ]
= 1 - [ (1-0.25)(1-0.30) ] = 0.475

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