Chapter 10.4, Problem 2E

To determine

Toexplain:

Outcomes for given events:

Intersection of $A$ and $B$

Outcomes shared by both $A$ and $B$

Outcomes of union of $A$ and $B$

Outcome in $B$ are also in $A$

Answer to Problem 2E

Outcomes for given events:

Intersection of $A$ and $B=2$

Outcomes shared by both $A$ and $B=2$

Outcomes of union of $A$ and $B=9$

Outcome in $B$ are also in $A=2$

Explanation of Solution

Given information:

  

  

The above Venn diagram shows the sample points in two events $A$ and $B$ , in the intersection of $A$ and $B$ .

When one consider the outcomes in the intersection of $A$ and $B$ from the outcomes shared by both $A$ and $B$ . There are two outcomes in the intersection of events of events $A$ and $B$ .

When one consider the outcomes for one or of the two events, $A$ and $B$ , form the union of $A$ and $B$ . There are nine outcomes in the union of two events.

Statement two and four has two outcomes.