Chapter 12.8, Problem 19PPE

To determine

To find: The probability that number obtained is green less than 7 and blue 4.

Answer to Problem 19PPE

The required probability is $\frac{1}{6}$ .

Explanation of Solution

Given:

The given figure is as follows.

  

Calculation:

Find the probability that the number is blue.

  $P\left(\text{blue}\right)=\frac{1}{6}$

The green cube is always less than 7, so its need only to consider the probability that the blue cube rolls 4.

Find the required probability as follows.

  $\begin{array}{c}P\left(\text{green}\text{less}\text{than}\text{7}\text{and}\text{blue}\right)=P\left(\text{blue}\text{4}\right)\\ =\frac{1}{6}\end{array}$

Therefore, the required probability is $\frac{1}{6}$ .