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Solve each problem. Show complete solutions. 1. A coin and a die are tossed. Create a sample space for all the possible ordered pairs, then find the probability of: a. a head showing along with an even prime number. b. a tail showing along an odd number. 2. A 3-digit number with no repeated digits is made from the digits 1 to 7. What is the probability that the number is: a. odd? b. between 300 and 600? c. a multiple of 5? 3. A committee of 4 is to be chosen from a group of 10 students. If Luis and Mercy are among those being considered, what is the probability that: a. both Luis and Mercy will be on the committee? b. neither Luis nor mercy will be on the committee? 4. A man has 5 blue and 4 yellow balls in a bag. Without looking in the bag, he takes out a ball, puts it back in the bag and takes out another ball. What is the probability that he: a. gets 2 blue balls? b. gets only one yellow ball? c. at least one blue ball