10. Tammy is a general contractor and has submitted two bids for two projects (A and B). The probability of getting project A is 0.65. The probability of getting project B is 0.77. The probability of getting at least one of the projects is 0.90.

Respuesta :

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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