### Home > A2C > Chapter 13 > Lesson 13.1.1 > Problem13-23

13-23.

A jar contains five red, four white, and three blue balls. If three balls are randomly selected, find the probability of choosing:

1. Two red and one white.

$\frac{_5C_2 \cdot _4C_1}{_{12}C_5}=\frac{2}{11}$

2. Three white.

See part (a).

3. One of each color.

See part (a).

4. All the same color.

$\frac{_5C_3 + _4C_3 + _3C_3}{_{12}C_3}=\frac{3}{44}$

5. One red and two white.

See part (a).

6. Two of one color and one of another.

How can the probabilities from parts (c) and (d)