5. Ms. Mahoney tries to bring math into everything the class does. Today she says that probability will determine who gets to leave early for lunch. "In this bag" Ms. Mahoney says, "I have a bunch of beans. Half of them are red beans, and the other half are black beans. Each of you will reach in and pull out a bean. If it is red, you get to leave early. If it is black, you have to wait until the bell rings. " With that she started walking around the room, letting students reach in and take out a bean. As each student drew out a bean he would place it on his desk. Surprisingly, the first eight of the 24 students to draw all pulled out a red bean! "Are you sure there a black beans in there, Ms Mahoney?" one student asked. "I told you" Ms. Mahoney replied. "Half are red and half are black. And since we have studied probability, you all know this could happen." When Ms. Mahoney got to Peter, he just stared at her. "Draw, Peter, " Ms. Mahoney urged. "There's no point," Peter said woefully. "They have all been red so far. There is no point in me reaching in to get a bean now." If Peter was going to be the thirteenth person to draw and he saw that the first 12 people all drew a red bean, why is there "no point" in Peter drawing a bean? Explain completely. Chrome File Edit View History Bookmarks Profiles ... Error Ape Oed 150 0ed Thar My/ Apex 4 Apex @ conf ) New @ cars drive C E NGI OUR downey.instructure.com 6. A bag contains 2 blue marbles, 3 red marbles and 4 clear marbles. a. If you reach into the bag without looking, what is the probability of pulling out a blue marble? A red marble? A clear marble? C. Davis's favorite color is blue and Tess's is red. What is the probability that Davis got a blue marble and Tess got a red one assuming Davis did not put back his marble? d. What is the probability that they both got the same color