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

Step 1: Understanding the Concept:
Probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a random experiment.

Step 2: Key Formula or Approach:
\[ P(E) = \frac{n(E)}{n(S)} \] Where $n(E)$ is the number of favorable outcomes and $n(S)$ is the total number of outcomes in the sample space.

Step 3: Detailed Explanation:
1. Total outcomes when a die is thrown: \( S = \{1, 2, 3, 4, 5, 6\} \). So, \( n(S) = 6 \). 2. Favorable outcomes (even numbers): \( E = \{2, 4, 6\} \). So, \( n(E) = 3 \). 3. Probability: \[ P(\text{Even}) = \frac{3}{6} = \frac{1}{2} \]

Step 4: Final Answer:
The probability of getting an even number is 1/2.