CHAPTER4 - PROBABILITY, RANDOMNESS, AND UNCERTAINTY 1. A couple plans to have 4 children. Assume boys and girls are equally likely and the gender of any child is not influenced by the gender of any other child. a. List the sample space.b. b. What is the probability of having exactly 3 boys? C. What is the complement of having exactly 4 girls? What is the probability of the complement of having exactly 4 girls? 2. Determine whether the two events are mutually exclusive: Brian is a registered Democrat and favors a Republican candidate. 3. A card is drawn at random from a 52-cards deck. Find the followig probabilities: a. The card is an ace. b. The card is a jack of hearts. c. The card is a 3 of clubs or a 6 of diamonds. d. The card is a heart e. Any suit except hearts. f. A 10 or a spade. g. Neither a 4, nor a club