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vladimir1956 [14]
3 years ago
9

74 students choose to attend one of three after school activities: football, tennis or running. There are 49 boys. 16 students c

hoose 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
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer:

The probability that student chose running is \frac{30}{74}.

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.

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

\text{Probability of Running}=\frac{30}{74}

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

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Using Pythagoras theorem, a^2 + b^2 = c^2, we can make a right angled triangle of ACD.

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2 years ago
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3 years ago
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