SOLUTION: Mr. Aaron is about to interview four candidates for a certain job. He hopes all the candidates turn off their cell phones, because he does not like to be interrupted by a ringing c

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Question 862259: Mr. Aaron is about to interview four candidates for a certain job. He hopes all the candidates turn off their cell phones, because he does not like to be interrupted by a ringing cell phone. If there is only one candidate whose cell phone rings during the interview, Mr. Aaron will immediately not hire this candidate. If there is only one candidate whose cell phone does not ring during the interview, he will immediately hire this candidate. Suppose all four candidates own cell phones and none turn his/her cell phone off. Each of the candidates will have a 50% chance of being called during their interview. What is the probability that Mr. Aaron will find himself in either one of the two above-described situations: to immediately not hire one candidate because his/her cell phone rang during the interview or to immediately hire one candidate because his/her cell phone was the only one that did not ring during the interview?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p = .5, n = 4
P+%281%29=+highlight_green%284C1%29%28.5%5E1%29%28.5%29%5E%283%29+ = .25
P+%280%29=+highlight_green%284C0%29%28.5%5E0%29%28.5%29%5E%284%29+ = .0625
P(one call 0r no call) = P(1) + P(0) = .3125