SOLUTION: Q1: The probability of student A passing an examination is 3/5 and of student B passing is 4/5. Assuming the two events: A passes, B passes, as independent find the probability of

Algebra ->  Probability-and-statistics -> SOLUTION: Q1: The probability of student A passing an examination is 3/5 and of student B passing is 4/5. Assuming the two events: A passes, B passes, as independent find the probability of      Log On


   

Question 936608: Q1: The probability of student A passing an examination is 3/5 and of student B passing is 4/5. Assuming the two events: A passes, B passes, as independent find the probability of:
A. both student passing the examination.
B. only A passing the examination.
C. only one of the two passing the examination.
D. neither of the two passing the examination.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the probability of A passing the exam is 3/5 = .6
the probability of A failing the exam is 2/5 = .4

the probability of B passing the exam is 4/5 = .8
the probability of B failing the exam is 1/5 = .2

the probability of both students passing the exam is .6 * .8 = .48

the probability of only A passing the exam is .6 * .2 = .12

the probability of only one of them passing the exam is .6 * .2 + .4 * .8 = .12 + .32 = .44

the probability of neither passing the exam is .4 * .2 = .08