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

Question

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?

Answer 1

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.