Question

A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below.
Participates in a Sport
Yes No Total
Participates in a Club Yes 620 450 1070
No 325 535 860
Total 945 985 1930
Given that a student participates in a sport, what is the probability that the student also participates in a club?

0.3212
0.5544
0.5794
0.6561

Answer 1

Probabilities are used to represent the possibilities of events.

The probability that a student participates in a club given that he participates in sports is 0.6561

The required probability is represented as; P(Club | Sport)

And it is calculated using:

$P(Club | Sport) = \frac{n(Club\ n\ Sport)}{n(Sport)}$

From the table, we have:

$n(Club\ n\ Sport) = 620$

$n(Sport) = 945$

So, the equation becomes

$P(Club | Sport) = \frac{620}{945}$

$P(Club | Sport) = 0.6561$

Hence, (d) 06561 is correct.

Read more about probabilities at:

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