Question

A Dice is thrown. Probability of getting an even number is ____.

• A. 1/6
• B. 1/3
• C. 1/2
• D. 2/3

Hint:

On a standard 6-sided die, exactly half the numbers are even (2, 4, 6) and half are odd (1, 3, 5). Therefore, the probability for either event is always 0.5 or 1/2.

Answer 1

The Correct Option is C

Group the six faces of the die into three consecutive pairs: \( (1,2) \), \( (3,4) \), and \( (5,6) \).

In every single one of these three pairs, exactly one number is odd and the other is even, there is no pair that is all-odd or all-even.

Since this pattern holds across all three pairs covering the entire sample space, exactly half of the six faces, three of them, are even.

This pairing shows the even and odd faces are perfectly balanced, giving: \[ \boxed{P(\text{even}) = \frac{1}{2}} \]