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

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1.488

0.488

1.634

0.788

answer is B.

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Detailed Solution

$E_{1} =$ Then will be Strike

$E_{2} =$ Then will be no Strike

$P (E_{1}) = 0.65 P (E_{2}) = 0.35$

a=Construction job will Completed on time

$\begin{array}{rcl} P (\frac{A}{E_{1}}) & = & 0.32 P (\frac{A}{E_{2}}) = 0.80 \end{array}$

$\begin{array}{rcl} P (A) & = & 0.65 \times 0.32 + 0.35 \times 0.80 \end{array}$

$P (A) = 0.208 + 0.28$

$\begin{array}{rcl} P (A) & = & 0.488 \end{array}$

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