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Ken is considering entering a local fishing​ tournament, but his choice to enter depends somewhat on...

Ken is considering entering a local fishing​ tournament, but his choice to enter depends somewhat on whether his​ rival, Billy, will enter the same fishing tournament. Ken thinks that he has a 0.40 probability of winning the fishing tournament if Billy does not enter the​ tournament, and a 0.25 probability of winning if Billy does enter the fishing tournament.

If the probability that Billy enters the fishing tournament is 0.45,

​a) find the probability that Ken wins the fishing tournament.

​b) If Ken does not win the fishing​ tournament, what is the probability that Billy did not enter the​ tournament?

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