probability and statistics: 1. Select the events that are mutually exclusive. a) Rolling a sum of 2 or rolling a prime number with a pair of six-sided dice, numbered 1 to 6. b) Rolling a sum of 6 or rolling a factor of 12 with a pair of six-sided dice, numbered 1 to 6. c) Rolling a sum of 10 or rolling a multiple of 2 with a pair of six-sided dice, numbered 1 to 6. d) Rolling a sum of 9 or rolling a multiple of 6 with a pair of six-sided dice, numbered 1 to 6. 2. A four-sided red die numbered 1 to 4 and a five-sided blue die numbered 1 to 5 are rolled. Determine the probability of rolling a 3 on the red die and a 2 on the blue die. a) 0.0500 b) 0.3000 c) 0.4500 d) 0.0417 3. Given their previous performance, the probability of a particular baseball team winning any given game is 4/5. The probability that this team will win their next 2 games is: a) 2/25 b) 16/25 c) 1/25 d) 8/25 4. Only six people have tickets for 2 prizes in a school draw. Once a ticket is drawn for a prize, it is not re-entered in the draw. What is the probability that Bill wins the first prize and Mary wins the second prize? : a) 11/30 b) 1/30 c) 1/36 d) 11/36 5.) Hilary draws a card from a well-shuffled standard deck of 52 playing cards. Then she draws another card from the deck without replacing the first card. Determine the probability that both cards are hearts if there are 13 heart cards in the standard deck of cards. : a) 1/16 b) 1/8 c) 1/12 d) 1/17