Question

The probability that a contractor will get a plumbing contract is 2/3
and that he will not get an electrical contract is 5/9. If the probability of
getting at least one contract is 4/5, find the chance that he will get
both?

Answer 1

Answer: 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

Step-by-step explanation: