for question (i) in the attachment,
the probibility is
P(Shopped *intersect* Female) = 50/200
is it correct?
Your attachment won't "enlarge" and I have trouble reading it as it is. It appears to be
*********Shopped*******not Shopped
Female***** 50 ************150
Male ****** 75 ************ 225
The probility that a person "shopped" given that the person is a female would be 50/200 because there are 50+150= 200 people.
But the probability that a person shopped and was a female- which is "female intersect shopped" and is NOT a "conditional" probability- would be 50/500 because there are a total of 50+150+ 75+ 225= 500.