Question

When a die is thrown once, the probability of getting an even number will be:

• A. $\tfrac{1}{4}$
• B. $\tfrac{1}{3}$
• C. $\tfrac{1}{2}$
• D. $\tfrac{1}{6}$

Hint:

Always count favourable outcomes carefully and divide by the total sample space. For a die, total outcomes are always $6$.

Answer 1

The Correct Option is C

Step 1: Total possible outcomes
When a fair die is thrown, the outcomes are: $\{1, 2, 3, 4, 5, 6\}$.
Thus, the number of total outcomes = $6$.

Step 2: Favourable outcomes for an even number
Even numbers = $\{2, 4, 6\}$
Thus, the number of favourable outcomes = $3$.

Step 3: Apply probability formula
\[ P(\text{even number}) = \frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}} \] \[ = \frac{3}{6} = \frac{1}{2} \]

Step 4: Conclusion
Hence, the probability of getting an even number is $\tfrac{1}{2}$.
The correct answer is option (C).