Chapter 0.6, Problem 1E

To determine

Whether events are independent or dependent and then find the probability of getting the given result.

Answer to Problem 1E

  $\frac{1}{36}$

Explanation of Solution

Given information:

A red die and a blue die are rolled.

  

Calculation:

The formula for independent event is $P\left(A\text{ and }B\right)=P\left(A\right)\cdot P\left(B\right)$ .

To get exact situation, we know that there is only one way to do it.

With given two different dice, there is only one possibility for each to give the outcome want in the task.

  $\begin{array}{l}P\left(A\right)=P\left(B\right)=\frac{1}{6}\\ P\left(A\text{ and }B\right)=\frac{1}{6}\cdot \frac{1}{6}\\ =\frac{1}{36}\end{array}$