Suppose a basketball player has made 184 out of 329 free throws. If the player make the next two free throws, I will pay you $24. Otherwise you pay me $12. Find the expected value of the proposition

Given that the player made 184 out of 329 throws, the probability of making the next throw will be:

P (x) = [Number of shots made]/[Total number of throws]

=184/329

=0.559

Thus the expected value of proposition will be:

0.599*24+0.559*12

=20.134