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:
[tex]P(Club | Sport) = \frac{n(Club\ n\ Sport)}{n(Sport)}[/tex]
From the table, we have:
[tex]n(Club\ n\ Sport) = 620[/tex]
[tex]n(Sport) = 945[/tex]
So, the equation becomes
[tex]P(Club | Sport) = \frac{620}{945}[/tex]
[tex]P(Club | Sport) = 0.6561[/tex]
Hence, (d) 06561 is correct.
Read more about probabilities at:
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