NDA2022MathematicsProbabilityActual
The completion of a construction job may be delayed due to strike. The probability of strike is 0.6 . The probability that the construction job gets completed on time if there is no strike is 0.85 and the probability that the construction job gets completed on time if there is a strike is 0.35 . What is the probability that the construction job will not be completed on time?
Options
- A0.35
- B0.45
- C0.55
- D0.65
Correct answer
B. 0.45
Step-by-step solution
Let E₁= strike; E₂= no strike F= Job completed on time. aligned & P(F)=P (F / E₁ ) P (E₁ )+P (F / E₂ ) P (E₂ ) & =0.35 0.6+0.4 0.85=0.55 & P( F )=P( Job not completed on time ) & =1-0.55=0.45 aligned