The probability of throwing more than 4 in a single throw from an ordi...
Understanding the Probability of Throwing More than 4 on a Die
When rolling a standard six-sided die, the outcomes are the numbers 1, 2, 3, 4, 5, and 6. To find the probability of rolling a number greater than 4, we need to follow these steps:
Identifying Favorable Outcomes
- The favorable outcomes for this scenario are:
- 5
- 6
Thus, there are 2 outcomes that are greater than 4.
Total Possible Outcomes
- A standard die has a total of 6 possible outcomes:
- 1
- 2
- 3
- 4
- 5
- 6
This means that the total number of possible outcomes when rolling the die is 6.
Calculating the Probability
- The probability (P) of an event is calculated using the formula:
\[
P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Possible Outcomes}}
\]
- For our scenario, the calculation becomes:
\[
P(\text{Rolling more than 4}) = \frac{2}{6} = \frac{1}{3}
\]
Conclusion
The probability of rolling a number greater than 4 on a single throw of an ordinary die is:
- \(\frac{1}{3}\) or approximately 0.3333 (33.33%).
Understanding these concepts helps in grasping the fundamentals of probability in various scenarios, making it essential for CA Foundation studies.