Marty and Gerri are playing Pick a Tile, a game 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.

   Squares	Circles
   		red	yellow
   	yellow			$\frac{3}{6}$
   	red
   	blue
   		$\frac{2}{3}$		$1$

   Hint (a):

   Squares	Circles
   		red	yellow
   	yellow	$\boldsymbol{\frac{1}{3}}$	$\boldsymbol{\frac{1}{6}}$	$\frac{3}{6}$
   	red	$\boldsymbol{\frac{2}{9}}$	$\boldsymbol{\frac{1}{9}}$	$\boldsymbol{\frac{2}{6}}$
   	blue	$\boldsymbol{\frac{1}{9}}$	$\boldsymbol{\frac{1}{18}}$	$\boldsymbol{\frac{1}{6}}$
   		$\frac{2}{3}$	$\boldsymbol{\frac{1}{3}}$	$1$

2. What is the probability of a player choosing the winning blue-red combination?

3. When Marty pulls her hand out of the bag, Gerri squeals with delight because she thinks she sees something blue. If it is something blue, what is the probability that Marty won a stuffed animal?

   Answer (c):

   $\approx66.7\%$