Jim and his brother Charlie cannot agree on who should get the last ice cream sandwich. They decide to settle their dispute on the basketball court, where they assume the following probabilities to be true: P(Jim makes his first free throw, with no previous practice shots) = 0.5=0.5equals, 0, point, 5 P(Jim makes a free throw given that he made his previous free throw) = 0.8=0.8equals, 0, point, 8 P(Jim makes a free throw given that he missed his previous free throw) = 0.4=0.4equals, 0, point, 4 Which of the following are fair methods for making a decision? (Consider a system to be fair when the probabilities of each event are equal.) Choose all answers that apply: Choose all answers that apply: (Choice A) A Jim takes 111 free throw. If he makes it, he gets the ice cream. If he misses, Charlie gets the ice cream. (Choice B) B Jim takes 222 free throws. If he makes them both he gets the ice cream. Otherwise, Charlie gets the ice cream. (Choice C) C Jim takes 222 free throws. If he makes the second free throw, he gets the ice cream. If he misses the second free throw, Charlie gets the ice cream. They ignore the result of the first free throw. (Choice D) D Jim takes 222 free throws. If he makes the first free throw, he gets the ice cream. If he misses the first free throw, Charlie gets the ice cream. They ignore the result of the second free throw.