1. A cooler has 24 Greek yogurt containers and 6 vanilla yogurt containers. The person in charge of distributing the yogurt reaches into the cooler (without looking) and randomly picks them out of the cooler. What is the probability that your friend gets a Greek yogurt and that you get a vanilla yogurt? Leave answers as percentages rounded to one decimal place.

2. For each situation, state whether or not the events are mutually exclusive (and explain why) and determine the probability of the event occurring. Leave answers as fractions in lowest terms.

a. rolling a power of 2 or a multiple of 3 with a single 12-sided die

b. drawing an even-numbered card or a card with a red suit from a standard deck of cards

3. Two 4-sided dice are tossed and the sum of the down sides noted. A 4-sided die doesn't have an "up" face like a 6-sided die has, so the down side is used.

a. Create a probability distribution and graph for this experiment.

b. Determine the expected value of the sum.