Question
A dice is thrown once . Calculate the probability of getting even
number.
number.
Answers
GPT-4o mini
A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6 on its faces. The even numbers among these are 2, 4, and 6.
To calculate the probability of rolling an even number:
1. **Count the number of favorable outcomes** (even numbers):
- The even numbers are 2, 4, and 6, which gives us 3 favorable outcomes.
2. **Count the total number of possible outcomes**:
- A die has 6 faces, so there are 6 possible outcomes.
3. **Use the probability formula**:
\[
P(\text{even number}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{3}{6} = \frac{1}{2}
\]
Thus, the probability of getting an even number when a die is thrown once is \(\frac{1}{2}\) or 0.5.
To calculate the probability of rolling an even number:
1. **Count the number of favorable outcomes** (even numbers):
- The even numbers are 2, 4, and 6, which gives us 3 favorable outcomes.
2. **Count the total number of possible outcomes**:
- A die has 6 faces, so there are 6 possible outcomes.
3. **Use the probability formula**:
\[
P(\text{even number}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{3}{6} = \frac{1}{2}
\]
Thus, the probability of getting an even number when a die is thrown once is \(\frac{1}{2}\) or 0.5.