Of all Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is found that 10% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming on weekdays and are female.

The probablity that a club member picked randomly is female, given that the person prefers swimming on weekends is?

Question

Mathematics

Derek Stein

7 February, 08:45

Of all Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is found that 10% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming on weekdays and are female.

The probablity that a club member picked randomly is female, given that the person prefers swimming on weekends is?

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Answers (1)

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Pittman · Answer 1

Given:

Sunny Club Members

Weekends = 25% Out of the 25%, 10% are females

Weekdays = 75% Out of the 75%, 55% are females

The probability that the person randomly picked swimming on weekends is female is:

25% * 10% = 2.5%