Question

When a dice of six faces \(\{1,2,3,4,5,6\}\) is thrown, which of the following is the probability of getting an even number?

• A. \(\dfrac{1}{2}\)
• B. \(\dfrac{2}{3}\)
• C. \(\dfrac{3}{4}\)
• D. \(\dfrac{1}{6}\)

Hint:

On a fair die, even outcomes are \(2,4,6\), so the probability of getting an even number is \(\frac{3}{6}=\frac{1}{2}\).

Answer 1

The Correct Option is A

Concept:
Probability is: \[ P(E)=\frac{\text{Favourable outcomes}}{\text{Total outcomes}} \]

Step 1: Total outcomes.
A dice has six faces: \[ 1,2,3,4,5,6 \] So, total outcomes: \[ 6 \]

Step 2: Favourable outcomes.
Even numbers are: \[ 2,4,6 \] So, favourable outcomes: \[ 3 \]

Step 3: Calculate probability. \[ P(\text{even number})=\frac{3}{6} \] \[ P(\text{even number})=\frac{1}{2} \] \[ \therefore \text{Correct Answer is (A)} \]