SOLUTION: Assume you have applied to two different universities (let's refer to them as Universities A and B) for your graduate work. In the past, 25% of students who applied to Universit

Question 1119060: Assume you have applied to two different universities (let's refer to them as Universities A and B) for your graduate work.
In the past, 25% of students who applied to University A were accepted, while University B accepted 35% of the applicants.
Assume events are independent of each other.
Give all the answers as DECIMAL NUMBERS!
a. What is the probability that you will be accepted in both universities?

b. What is the probability that you will be accepted to at least one graduate program?

c. What is the probability that one and only one of the universities will accept you?

d. What is the probability that neither university will accept you?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. This would be 0.25*0.35=0.0875.
b. At least one would be 1- probability of neither, the latter probability is 0.75*0.65=0.4875
The answer is 1-0.4875=0.5125
c. This would be the sum of (0.25*0.65) and (0.35*0.75)=0.1625+0.2625=0.4250
d. This would be 0.65*0.75=0.4875 from above
a+c+d=1, which covers the possibilities of 0,1,2.
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