Question

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

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

Hint:

When solving probability problems, always start by writing the total sample space and then count the favourable cases before applying the formula.

Answer 1

The Correct Option is B

 

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

Step 2: Favourable outcomes for an even number 
Even numbers on a die are: {2, 4, 6}. 
Thus, the number of favourable outcomes = 3. 
 

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

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