Final answer:
Stephen's estimated probability of winning is 11/27, and Natasha's estimated probability of winning is 16/27. These probabilities are calculated by dividing the number of wins by the total number of matches played.
Step-by-step explanation:
The probability that Stephen wins a tennis match can be calculated by dividing the number of matches he has won by the total number of matches played. Similarly, the probability that Natasha wins can be found by dividing the number of matches Natasha has won by the total number of matches played.
a) To estimate the probability of Stephen winning:
- Number of Stephen's wins: 11
- Total number of matches: 27
- Probability (Stephen wins) = Number of Stephen's wins / Total matches
- Probability (Stephen wins) = 11 / 27
b) To estimate the probability of Natasha winning:
- Number of Natasha's wins: 27 - Number of Stephen's wins
- Number of Natasha's wins = 27 - 11 = 16
- Probability (Natasha wins) = Number of Natasha's wins / Total matches
- Probability (Natasha wins) = 16 / 27