I already know the answer!! Please provide a detailed explanation because I don\

Question

I already know the answer!! Please provide a detailed explanation because I don't understand it!!!

Problem 23.) Several houses in one neighborhood have been listed for sale in the month of May. A seasoned real estate broker believes the probability that her first listing will have a contract within 30 days is 0.75 and the probability that her second listing will have a contract within 30 days is 0.85. She further believes that the probability that at least one of these properties will have a contract within 30 days is 0.90. Assuming that these probabilities are correct, what is the probability that neither of these houses will go under contract within 30 days? a. 0.70 b. 0.05 c. 0.15 d. 0.10

Explanation / Answer

A: first listing will have a contract within 30 days

B: second listing wil have a contract within 30 days

P(A)=0.75 and P(B)=0.85

P(A or B)=0.90

P(neither)=1-P(A or B)=1-0.9=0.1 thus option D is correct

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