Question: A company that produces soda pop has a new promotion. A word is printed on the underside of the cap of each bottle that says whether you have won a prize. A shipment of 16 bottles contains 4 that have prizes. If the 16 bottles are identical and you cannot tell by looking at them which has the prize, what is the probability that:

a. the first person who purchases a bottle chooses one that has a prize?

b. the second person who purchases a bottle chooses one that has a prize if the first person choose one that had a prize?

c. the second person who purchases a bottle chooses one that has a prize if the first person choose one that didn’t have a prize?

d. both (of the first 2) will purchase a bottle with a prize?

e. neither (of the first 2) will purchase a bottle with a prize?

f. only one (of the first 2) will choose a bottle with a prize?