Chapter 13.1, Problem 1AYK

(a)

To determine

To draw: A Venn diagram showing the events $\left\{A\text{and}B\right\}$, $\left\{A\text{and not}B\right\}$, $\left\{B\text{and not}A\right\}$, and $\left\{\text{neither}A\text{nor}B\right\}$.

(b)

To determine

To define: Each of these events in words.

(c)

To determine

To find: The probabilities of all four events, and add the probabilities to your Venn diagram.

To show:The sum of all the probabilities is equal to one.