There are 20 students in a classroom. Each student plays only one sport. The table below gives their

Question

There are 20 students in a classroom. Each student plays only one sport. The table below gives their sport and gender. Football Tennis Hockey Female 5 3 3 Male 4 2 3 One student is selected at random. Calculate the probability that the student is a male or is a tennis player. Given that the student selected is female, calculate the probability that the student does not play football. Two students are selected at random. Calculate the probability that neither student plays football.

Accepted Answer

There are 11 non-football students, so $P(\text{neither plays football})=\frac{11}{20}\cdot\frac{10}{19}=\frac{11}{38}$.

Use a contingency table for union and conditional probabilities, then sample without replacement.

Use a contingency table for union and conditional probabilities, then sample without replacement.

Solution:

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