To find the probability of rolling a five with a fair six-sided die, let's consider the following:
1. A fair die has 6 faces, each numbered from 1 to 6.
2. When you roll the die, each face has an equal chance of landing face up.
Let's look specifically at the event where the die shows a five:
- There is only one face with the number 5 on the die.
To determine the probability of this specific outcome, we use the concept of probability:
[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \][/tex]
For our case:
- The number of favorable outcomes (rolling a five) is 1.
- The total number of possible outcomes (since the die has 6 faces) is 6.
Thus, the probability of rolling a five is:
[tex]\[ \text{Probability of rolling a five} = \frac{1}{6} \][/tex]
So, the correct answer is:
[tex]\[ B. \frac{1}{6} \][/tex]
In decimal form, this probability is approximately 0.16666666666666666.
