All the winners from the Gee Whiz Everyone Wins! game show have the opportunity to compete for the bonus prize. Each winner chooses one block from each of two bags. Each bag contains one red, one yellow, and one blue block. The bonus game consists of two events, also known as a compound event. The contestant must predict which color they will choose from each of the two bags. For example, they would guess “I will pick red and then blue.” If the prediction is correct, the contestant wins a $10,000 bonus prize!

1. Draw a tree diagram to show all the possible color pairs that can be chosen.
Draw the tree diagram on looseleaf paper. Take a picture of your work and insert
it in the space below.

2. Use the tree diagram to find the following probabilities:
A. P(First red, then blue)
B. P(Same Color)
C. P(Yellow and Blue, in any order)

3. Which of the color combinations listed in Question 2 would give a contestant the
best chance of winning?