# The probability that a construction job will be finished on time is 3/5; the probability that there will be no strikes is 2/3 and

The probability that a construction job will be finished on time is 3/5; the probability that there will be no strikes is 2/3 and the probability that the job will be finished on time given that there are no strikes is 4/5.
i) What is the probability that the job will be finished on time and there will be no strikes?
ii) What is the probability that there are no strikes given that the job is finished on time?

### 2 thoughts on “The probability that a construction job will be finished on time is 3/5; the probability that there will be no strikes is 2/3 and”

0.488

Step-by-step explanation:

Let A be the event that the construction job is completed on time and B be the event that there is strike.

⇒P(B)=0.65

Hence probability that there will be no strike =P(B

)

=1−P(B)

=1−0.65

=0.35

∴P(B

)=0.35

By the Law of Total Probability we have P(A)=P(B)×P(A∣B)+P(B

)×P(A∣B

)

Given, P(constructionjobiscompletedwithnostrike)=P(A∣B)=0.80

and P(constructionjobiscompletedwithstrike)=P(A∣B

)=0.32

∴P(A)=0.65×0.80+0.35×0.32=0.488

Hence the probability that the construction job will get complete on time is 0.488