The probability that a probability that a person will an electrification contract is 2/5 and probability that he will not get plumbing contract is 4/7. If the probability of getting atteast one contract is 2/3 , what is the probability that will get both contract?
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Answer: P (A) =getting electric contact = 2/5
P (B) = getting Plumbing contract = 1 - 4/7
P (aub) = 2/3
P (aub) = P (A) +P (B) - P (aub)
2/5 +3/7 - 2/3 = 14+15/35 -2/3
= 29/35 - 2/3
= 87-70/105 = 17/105
Therefore probability of getting both contracts is = 17/105
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