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Probability

Probability

IP 4

Among \(50\) students:

- \(28\) play badminton;
- \(22\) play tennis;
- \(10\) play both.

  1. Draw a two-set Venn diagram and fill all four regions.

  2. Given that a student plays tennis, find the probability that the student also plays badminton.

  3. Given that a student plays at least one sport, find the probability that the student plays exactly one.

Solution:

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Answer:(a) Badminton only: \(18\); both: \(10\); tennis only: \(12\); neither: \(10\). (b) \(\frac5{11}\). (c) \(\frac34\).

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