Question

The probability that a contractor will get a plumbing contract is 2/3 and an electric contract is 4/9. If the probability of getting at least one contract is 4/5, find that he will get both contracts.​

Answer 1

$The \: answer \: is \: 10/9$

Answer 2

• By addition theorem of probability,

P(A

∪

B) = p(A) + p(B) - p(A

∩

B). where p(A

∩

B) is the probability of getting both the contracts.

P(A

∩

B) = p(A) + p(B) - P(A 45

10/9 is your answer