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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

Sagot :

Answer:

The probability that student chose running is [tex]\frac{30}{74}[/tex].

Step-by-step 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.

[tex]\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability of Running}=\frac{30}{74}[/tex]

Hence, the probability that student chose running is [tex]\frac{30}{74}[/tex].

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