Understanding the Problem
When rolling a standard six-sided die, the possible outcomes are limited to the numbers 1 through 6. The question asks about the probability of rolling a 7, which is not possible with a six-sided die.
Possible Outcomes of a Die
- A standard die has six faces numbered from 1 to 6.
- Therefore, the total number of possible outcomes when rolling a die is 6.
Calculating the Probability
- Probability is calculated using the formula:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes).
- In this case, since a 7 cannot appear on a six-sided die:
- Number of favorable outcomes for rolling a 7 = 0.
- Total number of possible outcomes = 6.
Final Probability
- Applying the formula:
Probability of rolling a 7 = 0 / 6 = 0.
Conclusion
- The probability of rolling a 7 on a standard six-sided die is 0. This means it is impossible to roll a 7 with a die that only has numbers from 1 to 6.
Understanding these concepts is crucial for grasping the fundamentals of probability in mathematics.