At the University of Tough Love, good grades in math are very hard to come by. The grade distribution is shown in the table below: Suppose three students are to be selected at random. As each is selected their math grades are written down and they are replaced back into the population of students. Three possible outcomes of this experiment are listed below. Calculate the probabilities of these sequences appearing.
a) ABC
b) CCF
c) BBA

Question

At the University of Tough Love, good grades in math are very hard to come by. The grade distribution is shown in the table below:  Suppose three students are to be selected at random. As each is selected their math grades are written down and they are replaced back into the population of students. Three possible outcomes of this experiment are listed below. Calculate the probabilities of these sequences appearing. 
a) ABC 
b) CCF 
c) BBA

Quizplus · Accepted Answer

The Answer is a) P(ABC) = P(A) P(B) P(C) = (.10)(.15)(.35) = 0.00525
b) P(CCF) = P(C) P(C) P(F) = (.35)(.35)(.05) = 0.006125
c) P(BBA) = P(B) P(B) P(A) = (.15)(.15)(.10) = 0.00225

At the University of Tough Love, Good Grades in Math