8. Two dice are rolled. Let A represent rolling a sum greater than 7. Let B...

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8. Two dice are rolled. Let A represent rolling a sum greater than 7. Let B represent rolling a sum that is a multiple of 3. Determine n(AB). A. 5 B. 8 C. 12 D. 15 Long Answer: Show all work for the following questions. (26 marks) 1. Raymond has 12 coins in his pocket, and 9 of these coins are quarters. He reaches into his pocket and pulls out a coin at random. (2 marks) a) Determine the odds against the coin being a quarter. b) Determine the probability of the coin being a quarter. Applied 40S Name: 2. There are 11 players on a baseball team, all with roughly equal athletic ability. The coach has decided to choose the players who will play the four infield positions (first base, second base, third base, and shortstop) randomly. Tori and Brittany are on the team. Determine the probability that Tori and Brittany are on the team. (2 marks) 3. Ashley has letter tiles that spell MANITOBA. She has selected four of these tiles at random. Determine the probability that the tiles she selected all vowels. (2 marks) 4. Josie is about to draw a card at random from a standard deck of 52 playing cards. Determine the probability that she will draw a red card or a 7. (3 marks) 5. The probability that Vince will study on Friday night is 0.6. The probability that he will go out for dinner is 0.3. The probability that he will do neither activity is 0.25. Determine the probability that he will do both activities. (2 marks) 8. Two dice are rolled. Let A represent rolling a sum greater than 7. Let B represent rolling a sum that is a multiple of 3. Determine n(AB). A. 5 B. 8 C. 12 D. 15 Long Answer: Show all work for the following questions. (26 marks) 1. Raymond has 12 coins in his pocket, and 9 of these coins are quarters. He reaches into his pocket and pulls out a coin at random. (2 marks) a) Determine the odds against the coin being a quarter. b) Determine the probability of the coin being a quarter. Applied 40S Name: 2. There are 11 players on a baseball team, all with roughly equal athletic ability. The coach has decided to choose the players who will play the four infield positions (first base, second base, third base, and shortstop) randomly. Tori and Brittany are on the team. Determine the probability that Tori and Brittany are on the team. (2 marks) 3. Ashley has letter tiles that spell MANITOBA. She has selected four of these tiles at random. Determine the probability that the tiles she selected all vowels. (2 marks) 4. Josie is about to draw a card at random from a standard deck of 52 playing cards. Determine the probability that she will draw a red card or a 7. (3 marks) 5. The probability that Vince will study on Friday night is 0.6. The probability that he will go out for dinner is 0.3. The probability that he will do neither activity is 0.25. Determine the probability that he will do both activities. (2 marks)