The problem asks for the probability of rolling a number greater than 6 on a fair 6-sided die. The answer should be rounded to 2 decimal places.

1. Problem Description

The problem asks for the probability of rolling a number greater than 6 on a fair 6-sided die. The answer should be rounded to 2 decimal places.

2. Solution Steps

A fair 6-sided die has the numbers 1, 2, 3, 4, 5, and 6 on its faces. We are asked to find the probability of rolling a number greater than

6.

Let $S$ be the sample space of rolling a 6-sided die. Then $S = \{1, 2, 3, 4, 5, 6\}$.

The total number of possible outcomes is $|S| = 6$.

Let $E$ be the event of rolling a number greater than

6. The outcomes in event $E$ are numbers greater than

6. Since the largest number on the die is 6, there are no numbers greater than

6. Therefore, $E = \{\}$. The number of outcomes in event $E$ is $|E| = 0$.

The probability of event $E$ is given by:

$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{|E|}{|S|}$

$P(E) = \frac{0}{6} = 0$

The probability of rolling a number greater than 6 is

0.

We need to round the answer to 2 decimal places.

$0.00$

3. Final Answer

$0.00$