1. If events A and B are mutually exclusive,P(A or B) = 0.5, and P(B) = 0.3; then what is P(A)?

2.Suppose you are dealt two cards at random from a standard deck of cards without replacing the first one before you are dealt the second one. Find the probability that you get a "10" (ten) and a "J" (jack), dealt in either order.

3.The letters A, B, C, D, E, and F are written on six different ping pong balls and put into a bag. The letters H, I, J, and K are written on another four different ping pong balls and put into a second bag. Then the letters O, P, Q, R, S, T, and U are written on another seven different ping pong balls and put into a third bag. If one ping pong ball is randomly selected from each of the three bags, what is the probability that at least one vowel (A, E, I, O, U) is selected?

4.Find the number of possible outcomes if a fair 6-sided die is tossed 4 times in a row and the result (1, 2, 3, ..., 6) of each toss is recorded.

5.Find the number of possible outcomes if the numbers 1 through 7 are written on different pieces of paper and placed in a hat. Two of these numbered pieces of paper are selected without replacement, and a 2-digit number is formed using the first number drawn in the tens place and the second number drawn used in the ones place.

6.Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a prize. Determine the number of ways that the prizes can be distributed if all 3 prizes are a $10 gift card.

7.Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a prize. Determine the number of ways that the prizes can be distributed if first prize is a $25 gift card, second prize is a free Crummy Combo Meal, and third prize is a free Jumbo Crummy Burger.

8.If a pair of 6-sided dice is tossed, what is the probability that both dice will show a number that is a multiple of 3 (i.e. 3 or 6)? (Hint: There are 2 multiples of 3 on each die. Determine the number of possible outcomes that show a multiple of 3 on each die.)

9.On a particular game show, there are 8 covered buckets and 2 of them contain a ball. To win the game, a contestant must select both buckets that contain a ball. Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

10.Four cards from a standard deck of playing cards are randomly dealt to you. Find the probability that you are dealt exactly 3 aces.

11.A golfer's bag contains 24 golf balls, 18 of which are ProFlight brand and the other 6 are DistMax brand. Find the probability that he reaches in his bag and randomly selects 5 golf balls and 4 of them are ProFlights and the other 1 is DistMax.

12.Dave has several golf balls in his golf bag. Seven of them are brand A, 9 are brand B, and 2 are brand C. He reaches into the bag and randomly selects one golf ball, then he selects a second one without replacing the first one. What is the probability that the first one is a brand A golf ball and the second one is a brand C golf ball?