The probability that the contractor will get both projects is 0.52
Project A probability = 0.65
Project B probability = 0.77
Least one of the projects probability = 0.90
Hence:
P(A)=0.65
P(B)=0.77
P(A∪B)=0.90
Using this formula
P(a and b)=P(a)+P(b)-P(a ∪ b)
Let plug in the formula
P(a and b)=0.65+0.77-0.90
P(a and b)=0.52
Inconclusion the probability that the contractor will get both projects is 0.52.
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