# Probability of acceptance

Jill wants to do her MBA in Statistics at a B.C. university. She applies to two universities that offer post-graduate degrees in Statistics. Assume that the acceptance rate at University A is 25% and at University B is 35%. Further assume that acceptance at the two universities are independant events.

A) What is the probability that Jill will be accepted by both universities?

B) What is the probability that neither university will accept Jane?

C) What is the probability that Jill will be accepted by at least one of the two universities?

D) What is the probability that one and only one will accept Jill?

https://brainmass.com/statistics/probability/probability-of-acceptance-13887

#### Solution Preview

See attached file also where formatting is conserved:

Let the probability that Jill be accepted at University A = P(A) = 25.00%

The probability that Jill will not be accepted at University A= Q(A)=1-P(A)= 75.00%

Let the probability that Jill be accepted at University B = P(B) = 35.00%

The probability that Jill will not be accepted at University B= Q(B)=1-P(B)= 65.00%

Notation: 25% is also written as 0.25 and so on

A) What is the probability that Jill will be accepted by both ...

#### Solution Summary

Answers to probability questions- probability of acceptance at universities given that acceptance at the two universities are independant events.