# Two fair dice, one red and one green, are rolled. Let the event (A) be the sum

## Question:

Two fair dice, one red and one green, are rolled. Let the event \(A\) be the sum of the faces showing is an even number. Let the event \(B\) be the sum of the faces showing is divisible by 3 .

**(a)** List the outcomes in \(A\), and nd \(P(A)\).

**(b)** List the outcomes in \(B\), and nd \(P(B)\).

**(c)** List the outcomes in \(A \quad B\), and nd \(P\left(\begin{array}{ll}A & B\end{array}\right)\).

**(d)** Are the events \(A\) and \(B\) independent? Explain why or why not.

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**Related Book For**

## Introduction To Bayesian Statistics

**ISBN:** 9781118091562

3rd Edition

**Authors:** William M. Bolstad, James M. Curran