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].