Question

74 students choose to attend one of three after school activities: football, tennis or running. There are 49 boys. 16 students choose football, of which 6 are girls. 28 students choose tennis. 8 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form

Answer 1

The probability that student chose running is
`(30)/(74)`.

Explanation:

Consider the provided information.

74 students choose to attend one of three after-school activities: football, tennis, or running.

16 students choose football, 28 students choose tennis.

The students choose running = 74 - 16 - 28

The students choose running = 30

It means out of 74 students 30 choose running.

`\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}`

`\text{Probability of Running}=(30)/(74)`

Hence, the probability that student chose running is
`(30)/(74)`.