Class 10 Maths · Chapter 14

Probability

382 Class 10 Maths questions on Probability from the NCERT textbook, NCERT Exemplar and CBSE board papers 2015–2026, each with its answer and a step-by-step solution.

CBSE Class 10 Maths previous year papers, with answers →

Questions · page 20 of 20

1. Q381 CBSE 2015
   A box contains $20$ cards numbered ​from $1$ to $20$. A card ​is drawn ​at random from ​the box. Find the probability that the number ​on the drawn card is

   1. (i)​divisible ​by $2$ or $3$
   2. (ii)a ​prime number.

   1. (i)divisible by $2$ or $3$
   2. (ii)a prime number
   Show answer

   (i) $P(\text{divisible by }2\text{ or }3)=\frac{13}{20}$; (ii) $P(\text{prime})=\frac{8}{20}=\frac{2}{5}$.

   Step-by-step solution →
2. Q382 CBSE 2015
   Two ​different dice are thrown ​at the same time.

   1. (i)​Write down ​all the possible outcomes.
   2. (ii)Find ​the ​probability that the sum of the two numbers appearing on the two ​dice is $8$.
   Show answer

   (i) All 36 ordered pairs $(a,b)$ with $a,b\in \{1,2,3,4,5,6\}$; (ii) $P(\text{sum}=8)=\frac{5}{36}$.

   Step-by-step solution →