Answer: 179/250
Work Shown
A = the person made the shot
B = the person is female
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 112/250 + 135/250 - 68/250
P(A or B) = (112 + 135 - 68)/250
P(A or B) = 179/250
Explanation:
There are 112 people who made a shot, 135 women, and 68 women who made their shot. By the inclusion-exclusion principle, there are 112+135-68 = 179 people who made their shot, or they are women, or both. This is out of the 250 people total. That's how we arrive at 179/250. Optionally you can make a probability tree or a Venn diagram if you wanted.
179/250 = 0.716 = 71.6% exactly without any rounding done to it.
