Question
Q10 Find the probabilty of getting an add number when adice is rolled.
Ask by Olson Lane. in Pakistan
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of rolling an odd number on a die is \( \frac{1}{2} \).
Solution
1. **Determine the sample space:**
When a die is rolled, there are \(6\) outcomes:
\[
\{1, 2, 3, 4, 5, 6\}
\]
2. **Identify the favorable outcomes:**
The odd numbers on a die are \(1\), \(3\), and \(5\). Thus, the number of favorable outcomes is \(3\).
3. **Calculate the probability:**
The probability \(P\) of getting an odd number is given by:
\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{6} = \frac{1}{2}
\]
4. **Conclusion:**
The probability of getting an odd number when a die is rolled is \( \frac{1}{2} \).
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Simplify this solution The Deep Dive
When rolling a standard six-sided die, there are three odd numbers: 1, 3, and 5. This gives us a favorable outcome of 3. Since there are a total of 6 sides on the die, the probability of rolling an odd number is 3/6, which simplifies to 1/2. So, you have a 50% chance of rolling an odd number—it's like flipping a coin! Just imagine the thrill! You can test this out by rolling a die multiple times and keeping track of how many times you roll an odd number versus an even number. After a handful of rolls, you’ll start to see the 1/2 probability play out right before your eyes. Don’t forget to cheer when you get those odd numbers!
