Question

Probability of getting a number \(>4\) on a fair die is:

• A. \( \frac{1}{2} \)
• B. \( \frac{1}{3} \)
• C. \( \frac{1}{6} \)
• D. \( \frac{2}{3} \) Correct Answer: (B) \( \frac{1}{3} \) Solution:

Hint:

For a fair die: \[ P(E)=\frac{\text{Favourable Outcomes}}{6} \] Always count the outcomes carefully before applying the probability formula.

Answer 1

The Correct Option is B

Step 1: Count all outcomes.
A fair die can show 1, 2, 3, 4, 5 or 6, so there are six equally likely results.

Step 2: Count the wanted ones.
Numbers greater than 4 are 5 and 6, which gives two favourable outcomes.

Step 3: Form the probability.
\[ P = \frac{2}{6} = \frac{1}{3} \]
\[ \boxed{\dfrac{1}{3}} \]