A dice is rolled. Probability of getting a number divisible by 2 or 3 is?
- 2/3
- 4/5
- 3/2
- None of these
Explanation
Sample space when rolling a dice: {1, 2, 3, 4, 5, 6} → 6 outcomes
Numbers divisible by 2: {2, 4, 6}
Numbers divisible by 3: {3, 6}
"Or" means union. Combine them but don't double-count 6:
Divisible by 2 or 3 = {2, 3, 4, 6} → 4 outcomes
Probability = Favorable / Total = 4/6 = 2/3
Formula way: P(A∪B) = P(A) + P(B) - P(A∩B) = 3/6 + 2/6 - 1/6 = 4/6 = 2/3
Last verified on 08-06-2026
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