Chapter 12, Problem 3QC

To determine

To find: the probability of event.

Answer to Problem 3QC

The probability of event is $\frac{4}{7}$ .

Explanation of Solution

Given information:

Red cubes $=6$

Yellow cubes $=4$

Blue cubes $=3$

Green cubes $=1$

Calculation: to find the probability to select red cubes, divide the red cubes by total cubes,

  $\begin{array}{l}\text{probability=}\frac{\text{red cubes}}{\text{total cubes}}\\ \text{probability=}\frac{6}{6+4+3+1}\text{ [substitute]}\\ \text{probability=}\frac{6}{14}\text{ [add]}\\ \text{probability=}\frac{3}{7}\text{ [simplify]}\end{array}$

Thus, the probability of the cube red is $\frac{3}{7}$ .

Now subtract the red cube probability from one,

  $\begin{array}{l}\text{P}\left(\text{not red}\right)=1-\frac{3}{7}\\ \text{P}\left(\text{not red}\right)=\frac{4}{7}\text{ [simplify]}\end{array}$

Thus, the probability of not red cube is $\frac{4}{7}$ .