Math214

posted by .

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 -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math Question

    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 …
  2. Government

    How many years can an Oklahoma senator serve?
  3. psychology

    Brendan is a 17-year-old competitive tennis player who has been referred to a sports psychologist with a specialization in ABA for assistance with some difficulties he has been having with his serve. According to Brendan's coach, he …
  4. physics

    In a tennis serve, a .074 kg ball can be accelerated from rest to 40 m/s over a distance of 0.79 m.Find the magnitude of the average force exerted by the racket on the ball during the serve.
  5. physics

    In a tennis serve, a 7.9×10−2 ball can be accelerated from rest to 33 over a distance of 0.80. Find the magnitude of the average force exerted by the racket on the ball during the serve.
  6. physics

    In a tennis serve, a 0.070 kg ball can be accelerated from rest to 35 m/sec over a distance of 0.80 m. find the magnitude of the average force exerted by the racket on the ball during the serve
  7. Math

    If the probability that a certain tennis player will serve an ace is 1/4, what is the probability that he will serve exactly two aces out of four serves?
  8. Physics

    A tennis player can serve the ball of mas 57g at an initial horizontal speed of 55ms^-1 the ball remains in contact with the racket for 0.055s. Calculate the average force exerted on the ball during the serve.
  9. statistics

    A tennis player makes a successful first serve 51% of the time. if she serves 9 times, what is the probability that she gets exactly 3 first serves in?
  10. Physical Education

    If a player serves two faults in a row, he or she will _____________. a. Lose the serve b. Lose a point*** c. Serve again d. Lose two points

More Similar Questions