At the beginning of a tennis match a player will spin a tennis racket which has

Question

At the beginning of a tennis match a player will spin a tennis racket which has two sides (W or M) and the other player will choose which side of the racket they believe it will land on. The winner gets their choice to serve or receive.

a) Explain in your own words how you would obtain the probability of the tennis racket landing W-side up.

b) Now suppose that the true probability of landing W-side up is 0.9. If we spin the tennis racket 10,000 times, what will happen to the number of times the rackets lands W-side up?

c) Now suppose that the true probability of landing W-side up is 0.9. If we spin the tennis racket 10,000 times, what will happen to the number of times the rackets lands M-side up?

Explanation / Answer

a) the probability of the tennis racket landing W-side up is 1/2.

b)  the true probability of landing W-side up is 0.9, p=0.9

n= 10,000 mean = np = 9000

c)  the true probability of landing M-side up is q = 1-p= 1- 0.9 = 0.1

n= 10000, mean = np =1000

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