Yvonne Delaney is playing Chris Becker a single pointfor the women’s world tennis championship. She has won thecoin toss and elected to serve. If she tries a hard serve, herprobability of getting the serve into play is .60. Given that thehard serve is in play, she has a .60 chance of winning the point.If she tries a soft serve, her probability of getting the serve inplay is .90, but if the soft serve is in play, her probability ofwinning the point is only .50. To maximize her probabilityof winning the point, what should Yvonne do?

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Yvonne Delaney is playing Chris Becker a single point
for the women’s world tennis championship. She has won the
coin toss and elected to serve. If she tries a hard serve, her
probability of getting the serve into play is .60. Given that the
hard serve is in play, she has a .60 chance of winning the point.
If she tries a soft serve, her probability of getting the serve in
play is .90, but if the soft serve is in play, her probability of
winning the point is only .50. To maximize her probability
of winning the point, what should Yvonne do?

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