A dice is thrown once. Find the probability that 3 or greater than 3 turns up.

Question

A dice is thrown once. Find the probability that 3 or greater than 3 turns up.

1. A. 1/2
2. B. 1/3
3. C. 1/4
4. D. 2/3 (Correct answer)

Correct Answer

Option D — 2/3

Detailed Solution & Explanation

The correct answer is 2/3.

Key Points

• A single die has 6 equally likely outcomes: 1, 2, 3, 4, 5, 6. The event is '3 or greater than 3', i.e. the outcomes {3, 4, 5, 6} — that is 4 favourable outcomes.
• P = favourable ÷ total = 4 ÷ 6 = 2/3.
• read the wording precisely — '3 or greater than 3' includes 3 itself, giving four outcomes (not three).
• Probability of a single-die event is always the count of favourable faces over 6.

Exam Tip

• the complement is 'less than 3' = {1, 2} = 2/6 = 1/3, and 2/3 + 1/3 = 1, confirming the answer.
• Watch for the difference between 'greater than 3' (only 4, 5, 6 → 1/2) and '3 or greater than 3' (3, 4, 5, 6 → 2/3).