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4004JuCh18
29.05.2020 •
Mathematics
Of all the Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is found that 20% 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 probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is.
P = Desired outcomes divided by the total outcomesm me
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Ответ:
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
P(A) is the probability of A happening.
In this question:
Event A: Prefers swimming on weekends.
Event B: Being female.
25% prefer swimming on weekends
This means that![P(A) = 0.25](/tpl/images/0670/3555/66628.png)
It is found that 20% of the members in that city prefer swimming on weekends and are female
This means that![P(A \cap B) = 0.2](/tpl/images/0670/3555/9751b.png)
So
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
Ответ: