### Home > CCG > Chapter 10 > Lesson 10.3.1 > Problem10-117

10-117.

Marty and Gerri played Pick a Tile, in which the player reaches into two bags. One bag contains square tiles and the other circular tiles. The bag with squares contains three yellow, one blue, and two red squares. The bag with circles has one yellow and two red circles. In order to win the game (and a large stuffed animal), a player must choose one blue square and one red circle.

1. Complete the two-way table below.

 CIRCLES red yellow yellow $\frac{3}{6}$ SQUARES red blue $\frac{2}{3}$ $1$
2. What is the probability of a player choosing the winning blue-red combination?

 CIRCLES red yellow yellow $\frac{1}{3}$ $\frac{1}{6}$ $\frac{3}{6}$ SQUARES red $\frac{2}{9}$ $\frac{1}{9}$ $\frac{2}{6}$ blue $\frac{1}{9}$ $\frac{1}{18}$ $\frac{1}{6}$ $\frac{2}{3}$ $\frac{1}{3}$ $1$

3. When Marty pulled her hand out of the bag, Gerri squealed with delight because she thought she saw something blue. If it was something blue, what is the probability that Marty won a stuffed animal?

$66.7$%