Four bricks are sampled at random from a large load of bricks and the crushing s

Question

Four bricks are sampled at random from a large load of bricks and the crushing strength of each is measured to determine whether it meets a specification. If any of the bricks in the load fails to meet specs what is the probability that the load will be returned? Four bricks are sampled at random from a large load of bricks and the crushing strength of each is measured to determine whether it meets a specification. If any of the bricks in the load fails to meet specs what is the probability that the load will be returned?

Explanation / Answer

Suppose, in fact 10% of the bricks fails to meet the specification, the probability that the load will be returned is

P(at least one fails) = 1 - P(none fail) = 1 - 0.9 = 0.3439

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