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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.

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