1. Are the following events mutually exclusive? If not, state a common outcome. a. You want to find the probability of drawing a queen or a red card from a deck of cards. b. You want to find the probability of rolling doubles or rolling a sum of 7 on a pair of dice. c. You want to find the probability of drawing a prime number or a multiple of 3 from a hat that has numbers 1 to 50 on a piece of paper. 2. The numbers 1 to 30 are written on pieces of paper in a well shaken basket. What is the probability (rounded to 3 decimal places) of drawing: a. an odd number or a prime number? b. a number less than 12 or a double digit number? c. a perfect square or an even number? d. a multiple of 5 or a number between 16 and 197 3. A well shuffled deck of cards is used to deal out a single card. What is the probability (rounded to 3 decimal places) of dealing: a. an ace or a club? b. an ace or a black card? c. an ace or a face card?