Question

Henry and David have played 35 tennis matches.

Henry has won 20 times.
David won the rest.
a) Estimate the probability that Henry wins.
b) Estimate the probability that David wins.

Answer 1

To estimate the probability that Henry wins, divide the number of times Henry won by the total number of matches. The probability that David wins can be estimated by subtracting the probability that Henry wins from 1.

Step-by-step explanation:

To estimate the probability that Henry wins, we can divide the number of times Henry won by the total number of matches:

P(Henry wins) = (Number of times Henry won) / (Total number of matches)

In this case, Henry won 20 out of 35 matches, so the probability that Henry wins is approximately 20 / 35 = 0.57 or 57%.

To estimate the probability that David wins, we can subtract the probability that Henry wins from 1, as there are only two outcomes (either Henry wins or David wins):

P(David wins) = 1 - P(Henry wins) = 1 - 0.57 = 0.43 or 43%.