Chapter 9, Problem 15STP

To determine

To find: that which events has a probability of $\frac{1}{6}$ .

Answer to Problem 15STP

The event is rolling $3,4\text{ or 5 and 3 or 5}$ second.

Explanation of Solution

Given information:

A six sided die is rolled twice.

The events are:

1. Rolling $5\text{ or 6}$ first and $1$ second.
2. Rolling $2$ first and $2$ second.
3. rolling $3,4\text{ or 5 and 3 or 5}$ second.
4. Rolling $1\text{ or 2}$ and $\text{3 or 4}$ second.

Calculation: in the event rolling $3,4\text{ or 5 and 3 or 5}$ second, the possible results are $\text{6}$ and total results for rolled six-sided die is $\text{36}$ ,

So the probability is $\frac{1}{6}$ .