Answer: Hope this helps:)
Explanation:
The probability that a student participates in clubs, the student is a girl, is approximately 0.588.
Let's define:
G:
The circumstance a pupil is a female.
C:
The activity in a student engages with clubs.
In the event G, 17 students are female, 11 students are club members, and 10 students are female and club members in the event G and C.
Calculate P(C|G), or the probability of event C provided that event G has occurred, to determine if a student joins clubs given that she is a girl.
Using the conditional probability formula, we have:
P(C and G) / P(G) = P(C|G)
P(C and G) = 10/32 because 10 students are both ladies and take part in
clubs (events G and C).
Additionally, according to event G, there are 17 girls in the class.P(G) = 17/32.
The probability that a student participates in clubs, given that the student is a girl, is:P
(C|G) = (10/32) / (17/32)
= 10/17
≈ 0.588