Question: The completion time of a construction project depends on whether the carpenters or the plumbers working on theproject go on strike. The probabilities of delay

The completion time of a construction project depends on whether the carpenters or the plumbers working on theproject go on strike. The probabilities of delay are 100%, 80%, 40%, and 5% if both go on strike, carpenters alonego on strike, plumbers alone go on strike, and neither of them strikes respectively. Also, there is 60% chance thatplumbers will strike if carpenters strike, and if plumbers go on strike there is a 30% chance that carpenters wouldfollow. It is known that the chance for the plumbers strike is 10%.

Determine the probability of delay in completion

If there is a delay in completion, determine the following:i) Probability that both carpenters and plumbers are on strike

.ii) Probability that carpenters strike and plumbers are not on strike.

iii) Probability that carpenters are on strike.

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