Question

out of 125 children at summer camp 45 signed up for swimming 38 for arts and crafts if a child is randomly selected what is the probability that they signed up for swimming if it is known they did not sign up for arts and crafts

Answer 1

P(s) = 45/125 = 0.360
P(A&C) = 38/125 = 0.304
Probability that one is not in Arts and Crafts = 1- P(A&C) = 1-0.304 = 0.696

Therefore,
Probability that the child selected is in swimming when its known they didn't sign for Arts and craft = Probability they signed for swimming * Probability that they didn't sign for Arts and Crafts = 0.360*0.696 = 0.25056

Answer 2

Answer:

P( swim | No Art and crafts) = 26/87

Step-by-step explanation:

There are total 45 children who sign up for swimming, but 12 children are sign up for both, so only 33 students are only for swimming. and there 54 children who are not sign up either one. plus 33 children ( swimming), total is 87 children who did not sign up for arts and crafts