A hint to get started
Separate a bulb fault from simultaneous bulb-and-switch faults
When a large number of flashlights leaving a factory is inspected, it is found that the bulb is faulty in 1% of the flashlights and the switch is faulty in 1.5% of them. Assuming that the faults occur independently and at random, find the probability that a sample of
(i) 10 flashlights contains no faulty bulb, marks
(ii) 80 flashlights contains at least one flashlight with both a faulty bulb and a faulty switch. marks
[2009/MJC/II/9(a)]
CJC · Review Problems · Question 2
Define success separately for each part: one bulb fault versus both faults on the same flashlight.