Posted by **alicia** on Saturday, February 13, 2010 at 4:18pm.

Jane has two tennis serves, a hard serve and a soft serve.Her hard serve is in (a good serve) 50% of the time, and her soft serve is in (good) 75% of the time. If her hard

serve is in, she wins 75% of her points. If her soft serve is in, she wins 50% of her points. Since she is allowed to reserve one time if her first serve is out, what should her

serving strategy be? That is, should she serve hard followed by soft; both hard; soft followed by hard; or both soft?

- Math214 -
**bobpursley**, Saturday, February 13, 2010 at 4:36pm
Lets look at the value of each combination.

H first

H=.50*.75=.375

HH=.50*.50*.75.=.1875

HS=.50*.75*.50=.1875

S first

S=.75*.5=.375

SH=.25*.5*.75=.09375

SS=.25*.75*.50=.09375

so, check my calcs. It seems H first, then either second is the best strategy.

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