SOLUTION: . A student estimates that the probability for him to get a scholarship is 0.8 if he scores a grade A in Statistics and 0.1 if he gets a grade C in Statistics. However the chances

Algebra ->  Probability-and-statistics -> SOLUTION: . A student estimates that the probability for him to get a scholarship is 0.8 if he scores a grade A in Statistics and 0.1 if he gets a grade C in Statistics. However the chances       Log On


   

Question 1020243: . A student estimates that the probability for him to get a scholarship is 0.8 if he scores a grade A in Statistics and 0.1 if he gets a grade C in Statistics. However the chances for him to get grade A in Statistics is 0.1 and grade B is 0.3
a) Draw a tree diagram to represent the above situation
b) What is the probability that he will get a scholarship
c) If the students get a scholarship, what is the probability that he obtains a grade B in Statistics
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You don't have enough information to calculate the probability.
Look at the possible outcomes.
The first letter is the statistics grade.
The second letter denotes scholarship yes or no.
AY AN
BY BN
CY CN
DY DN
FY FN
However the only probability you can compute is,
P%28AY%29=0.1%280.8%29=0.08
P%28AN%29=0.1%280.2%29=0.02
You don't know the probability of him getting a B, D, or F.
You also don't know the probability of him getting a scholarship if he scores a C, D, or F.