Question

A person has undertaken a construction job. The probabilities are 0.65 that there will be strike, 0.80 that the construction job will be completed on time if there is no strike and 0.32 that the construction job will be completed on time if there is a strike. Determine the probability that the construction job will be completed on time.

Answer 1

Probability that there will be strike 

P(A) = 0.65 

Probability that there will not be strike 

P(\(\bar{A}\)) = 1 – 0.65 = 0.35 

Let E the event that work finished in time. 

Then probability of completion of work in strike. 

P (E/A) = 0.32 

and probability of completion of work when there is no strike 

P (E/A) = 0.80 

∴ Probability that the construction job will be completed on time