Chapter 11.8, Problem 3E

To determine

To find whether the events are disjoint or overlapping and also find $P\left(A\text{ or }B\right)$ .

Answer to Problem 3E

  $A\text{ and }B$ are disjoint event and $P\left(A\text{ or }B\right)=\frac{2}{3}$ .

Explanation of Solution

Given information:

Event A is rolling an even number and Event B is rolling a number 3 on number cube.

The outcomes for event A are 2,4, and 6 and the outcome for event B is 3.

There are no outcomes in common.

Hence, the events A and B are disjoint.

There are 6 possible outcomes. There are favorable 4 favorable outcomes that is 2, 3, 4, and 6for event $A\text{ or }B$ .

So, $P\left(A\text{ or }B\right)=\frac{4}{6}=\frac{2}{3}$