Question

Homework Example 6: John and Lisa are going to take the driver's license test. Based on their skills, the probability that John will pass the test is 0.7 and the probability that Lisa will pass is 0.8. Assuming that the test result of one of them has no effect on the result of the other... a) Are the events John will pass and Lisa will pass dependent or independent? b) What is the probability that both will pass? Example 7: You consistently hit 80% of your free throw shots when you practice. What is the probability of hitting the next three shots? TOGUT

Answer 1

6)

a)

Since hte test result of one has no effect on the result of the other, so the two given events are independent.

b)

Required probability = P(both will pass) = (0.7)(0.8) = 0.56

{The two events are independent}

7)

Required probability = P(hitting next 3 shots) = (0.8)(0.8)(0.8) = 0.512