The probability that a contractor will get a plumbing contract is 2/3, probability that he will not get an electrical contract is 5/9. if the probability of getting at least one contract is 4/5, what is the probability that he will get both?
Answers
Answered by
20
2/3 + 4/9- 4/5=14/45
Answered by
27
14/45 is the probability that he will get both
Step-by-step explanation:
The probability that a contractor will get a plumbing contract is 2/3
=> P (plumbing) = 2/3
probability that he will not get an electrical contract is 5/9.
=> P(Electrical) = 1 - 5/9 = 4/9
probability of getting at least one contract is 4/5 =
P ( plumbing + Electrical) = P (plumbing) + P(Electrical) - probability of getting at least
=> probability that he will get both = 2/3 + 4/9 - 4/5
= (30 + 20 - 36)/45
= 14/45
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