Question

Jun and deron are applying for summer jobs at a local restaurant. after interviewing them, the restaurant owner says, "the probability that i hire jun is 0.7, and the probability that i hire deron is 0.4. the probability that i hire at least one of you is 0.9." what is the probability that both jun and deron get hired?

Answer 1

As restaurant owner The probability of hiring Jun is 0.7 => p(J) The probability of hiring Deron is 0.4 => p(D) The probability of hiring at least one of you is 0.9 => p(J or D) We have a probability equation: p(J or D) = p(J) + p(D) - p(J and D) => 0.9 = 0.7 + 0.4 - p(J and D) p(J and D) = 1.1 - 0.9 = 0.2 So the probability that both Jun and Deron get hired is 0.2.