(3 points) Suppose that you are handed an envelope of 24 SweeTarts. Eight of these are red SweeTarts, seven are blue SweeTarts, and nine are purple SweeTarts. Suppose you are sampling two SweeTartss with replacement (i.e., you draw an SweeTarts, record its color, place it back in the envelope, and then draw another SweeTarts). What is the probability of the following?

a. (0.5 points) You select two red SweeTarts.

b. (0.5 points) You select a red SweeTart on the first draw followed by either a blue or purple SweeTart on the second draw.

c. (0.5 points) When sampling with replacement, are two draws of SweeTarts

independent of each other? Justify your answer.

Now suppose you are sampling two SWEETARTs without replacement (i.e., you

draw two SWEETARTs and record their color). What is the probability of the following?

d. (0.5 points) You select two red SweeTarts.

e. (0.5 points) You select a red SweeTart on the first draw followed by either

a blue or purple SweeTart on the second draw.

f. (0.5 points) When sampling without replacement, are two draws of SweeTarts independent of each other? Justify your answer.