Of all the Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is f
2 answers:
Answer: The likelihood that a randomly selected club member is female, assuming the individual enjoys swimming on weekends, is 40%.
Step-by-step explanation:
Let E₁ represent the scenario where members favor weekend swimming.
Let E₂ denote the scenario where members favor weekday swimming.
Let A signify the event that members are female.
The probability that members prefer weekend swimming P(E₁) is 25%.
The probability for members who prefer weekday swimming P(E₂) is 75%.
The probability of members who are female and prefer weekend swimming P(A∩E₁) is 10%.
The probability of female members who prefer weekday swimming P(A∩E₂) is 55%.
To determine the probability of a member being female when they prefer weekend swimming, we apply the Conditional theorem.
Thus, the chance that a randomly chosen club member is female, provided they like swimming on weekends, is 40%.
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