✓ Board-verified↻ asked 2×
Mathematics · 2026 · 3 marks
CBSE 2026 · Region 2 · Set 1 · Q31
Two dice are thrown at the same time. Determine the probability that the(i)sum of the numbers on the two dice is $\displaystyle 5$, and (ii) difference of the numbers on the two dice is $\displaystyle 3$ .
Two dice are thrown at the same time. Determine the probability that the
(i)
sum of the numbers on the two dice is $\displaystyle 5$, and (ii) difference of the numbers on the two dice is $\displaystyle 3$ .
Marking-scheme solution
Total outcomes = $\displaystyle 36$
(i)
Number of outcomes with sum of the numbers on the two dice is \(\displaystyle 5=4\)
\(\displaystyle (1,4)(4,1)(2,3)(3,2)\)
\(\displaystyle \mathrm{P}(\) sum of the numbers on two dice is $\displaystyle 5$\(\displaystyle )=\frac{4}{36}\) or \(\displaystyle \frac{1}{9}\)
(ii)
Number of outcomes with difference of the numbers on the two dice is \(\displaystyle 3=6\)
$\displaystyle (1,4)$ \(\displaystyle (4,1)(5,2)(2,5)(6,3)(3,6)\)
\(\displaystyle \mathrm{P}(\) difference of the numbers on the two dice is $\displaystyle 3$\(\displaystyle )=\frac{6}{36}\) or \(\displaystyle \frac{1}{6}\)
More from Probability
- The number of red balls in a bag is 10 more than the number of black balls. If the probability of drawing a…2025 · asked 3×
- Assertion: In a cricket match, a batsman hits a boundary 9 times out of 45 balls he plays. The probability…2024 · asked 3×
- A box contains cards numbered 6 to 55. A card is drawn at random from the box. The probability that the drawn…2024 · asked 3×
- Rahul is a lucky charm for his cricket team. He has a jar of cards with numbers from 10 to 74. Before each…2025 · asked 3×
- If a fair coin is tossed twice, find the probability of getting 'atmost one head'.2023 · asked 3×
- A group of friends wanted to play cards with two identical packs together. While shuffling the cards, three…2026 · asked 3×
- Assertion: If probability of happening of an event is 0.2 p, p 0, then p can't be more than 5. Reason (R): P(…2026 · asked 3×
- A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets…2023 · asked 3×
CBSE Class 10 Mathematics past-paper question from the 2026board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.