The probability that a construction job will be finished on time is 35 the probability that there is no strikes is 23 and the probability that the job will be finished on time given that there are no strikes is 45 what is the probability that there will be a have been no strikes given that job is finished on time
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Probability that there will be strike
P(A)=0.05
Probability that there will not be strike
P(
A
)=1−0.65=0.35
Let E the event that work finished in time
Then probability of completion of work in strike
P(
A
E
)=0.32
and probability of completion of work when there is no strike P(
A
E
)=0.80
Probability that the construction job will be completed on time
P(E)=P(A).P(
A
E
)+P(
A
).P(
A
E
)=0.65×0.32+0.35×0.80=0.208+0.280=0.488
Required probability =0.488
Step-by-step explanation:
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