Chapter 3.7, Problem 13E

To determine

(a)

To find:

The probability of rolling a $5$.

To determine

(b)

To find:

The probability of rolling a $5$ given that the number rolled is even.

To determine

(c)

To find:

Whether the events “rolling a $5$” and “rolling an even number” are independent or not.

To determine

(d)

To find:

Whether the events “rolling a $5$” and “rolling an even number” are mutually exclusive or not.

To determine

(e)

To find:

The result’s interpretation for parts $\left(\text{c}\right)$ and $\left(\text{d}\right)$.