Question

The probability that Roy attends a practice session before a match is 95%. If he attends, the probability that he is chosen for the team which plays is 98%. If he does not attend, there is a 75% chance that he will be chosen for the team.

a) Construct a well-labeled tree diagram to represent all the possible outcomes.

b) What is the probability that Roy:

i) attends practice and is chosen?

ii) does not attend practice and is not chosen?

iii) does not attend practice?

iv) is chosen?

Answer 1

a.

b.

1.P=0.95x0.98=0.931

2.P=0.05x0.25=0.0125

3.P=1-0.95=0.05

4.0.95x0.98+0.05x0.75=0.9685