6. To teach students about probability, a teacher sets up the following game: There are 3 boxes and five bags. The teacher puts one prize in one of the five bags, then mixes up the bags and puts 2 in one box and three in the other. One box is left empty. A student chooses a box and then a bag from that box if there is one. a. Illustrate the possible outcomes in a tree diagram b. Assign a probability to each of the bags receiving the prize. c. Assume the teacher puts the prize in a bag from the box containing three bags. What is the probability the student gets the prize