Chapter 11.8, Problem 5E

To determine

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

Answer to Problem 5E

  $A\text{ and }B$ are disjoint event and $P\left(A\text{ or }B\right)=\frac{1}{2}$ .

Explanation of Solution

Given information:

Event A is rolling a number which is a multiple of 3 and Event B is rolling a 5.

The outcomes for event A are 3 and 6 and the outcome for event B is 5.

There are no outcomes in common.

Hence, the events A and B are disjoint.

There are 6 possible outcomes. There are favorable 3 favorable outcomes that is 3, 6, 5 for event $A\text{ or }B$ .

So, $P\left(A\text{ or }B\right)=\frac{3}{6}=\frac{1}{2}$