1
WEEK 6 - SOLUTIONS
TUTORIAL QUESTIONS
1
.
(Adapted from a past exam question in QMB).
Draw a probability tree to solve this problem. A qualifying test for a professional
organisation was given at four locations. One thousand students sat for the test
at each of locations A and B and 500 students sat for the test at each of locations
C and D. Seventy percent of those who sat at location A passed the test. The
percentages of students from locations B, C and D who passed were 75%, 65%
and 72% respectively.
If one student is selected at random from those who sat
for the test,
(a) what is the probability that the selected student passed the test?
Answer:
P(Passed)
2135
0.712
3000
(b) if the selected student passed the test, what is the probability that the student

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