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 10 of 20

1. Q181 CBSE 2024
   Two dice ​are ​tossed ​simultaneously. The ​probability of getting ​odd ​numbers on both ​the dice is :

   1. (a)$\frac{6}{36}$
   2. (b)$\frac{3}{36}$
   3. (c)$\frac{12}{36}$
   4. (d)$\frac{9}{36}$
   Show answer

   (d) $\frac{9}{36}$

   Step-by-step solution →
2. Q182 CBSE 2024
   The probability for a ​leap ​year (selected at ​random) to have ​52 ​Mondays and 53 Sundays ​is:

   1. (a)$\frac{1}{366}$
   2. (b)$\frac{1}{52}$
   3. (c)$\frac{2}{7}$
   4. (d)$\frac{1}{7}$
   Show answer

   (d) $\frac{1}{7}$

   Step-by-step solution →
3. Q183 CBSE 2024
   The probability that ​in a ​family ​of three ​children, there will ​be at ​least two ​boys, is:

   1. (a)$\frac{1}{8}$
   2. (b)$\frac{7}{8}$
   3. (c)$\frac{4}{8}$
   4. (d)$\frac{6}{8}$
   Show answer

   (c) $\frac{4}{8}$

   Step-by-step solution →
4. Q184 CBSE 2024
   A card is drawn from a well shuffled deck of $52$ ​playing cards. ​The ​probability that ​drawn card is ​a ​red ​queen, is:

   1. (a)$\frac{1}{13}$
   2. (b)$\frac{2}{13}$
   3. (c)$\frac{1}{52}$
   4. (d)$\frac{1}{26}$
   Show answer

   (d) $\frac{1}{26}$

   Step-by-step solution →
5. Q185 CBSE 2024
   A number is chosen at ​random ​from the numbers $-3,-2,-1,0,1,2,3$. The probability that square ​of this number is less than or ​equal to $1$ is ​:

   1. (a)$\frac{1}{7}$
   2. (b)$\frac{2}{7}$
   3. (c)$\frac{3}{7}$
   4. (d)$\frac{5}{7}$
   Show answer

   (c) $\frac{3}{7}$

   Step-by-step solution →
6. Q186 CBSE 2024
   If $P(A)$ denotes ​the probability ​of ​an event $A$, ​then

   1. (a)$P(A)<0$
   2. (b)$P(A)>1$
   3. (c)$0\le P(A)\le 1$
   4. (d)$-1\le P(A)\le 1$
   Show answer

   (c) $0\le P(A)\le 1$

   Step-by-step solution →
7. Q187 CBSE 2024
   A ​box ​contains cards numbered $6$ to $55$. A ​card is drawn at random ​from the box. The probability that the drawn card has ​a ​number which is ​a ​perfect square, is

   1. (a)$\frac{7}{50}$
   2. (b)$\frac{7}{55}$
   3. (c)$\frac{1}{10}$
   4. (d)$\frac{5}{49}$
   Show answer

   (c) $\frac{1}{10}$

   Step-by-step solution →
8. Q188 CBSE 2024
   The probability of getting ​a chocolate ​flavoured ice cream ​at random, ​in a lot of 600 ice creams ​is 0.055. ​The number of chocolate ​flavoured ice creams in ​the lot is :

   1. (a)$33$
   2. (b)$55$
   3. (c)$11$
   4. (d)$44$
   Show answer

   (a) $33$

   Step-by-step solution →
9. Q189 CBSE 2024
   Two ​fair ​coins ​are tossed together. ​The probability ​of getting $2$ ​heads, is :

   1. (a)$\frac{1}{2}$
   2. (b)$\frac{3}{4}$
   3. (c)$\frac{1}{4}$
   4. (d)$\frac{3}{8}$
   Show answer

   (c) $\frac{1}{4}$

   Step-by-step solution →
10. Q190 CBSE 2024
    In ​a family of ​two children, the ​probability of ​having ​at ​most one ​boy, is:

    1. (a)$\frac{3}{4}$
    2. (b)$\frac{1}{2}$
    3. (c)$\frac{1}{4}$
    4. (d)$1$
    Show answer

    (a) $\frac{3}{4}$

    Step-by-step solution →
11. Q191 CBSE 2024
    When a ​die ​is thrown, ​the probability of ​getting an ​odd ​number greater than $3$ is :

    1. (a)$\frac{1}{6}$
    2. (b)$\frac{1}{3}$
    3. (c)$\frac{1}{2}$
    4. (d)$0$
    Show answer

    (a) $\frac{1}{6}$

    Step-by-step solution →
12. Q192 CBSE 2024
    If a digit is chosen ​at ​random from the digits $1,2,3,4,5,6,7,8,9$; ​then the ​probability that this digit ​is an odd prime number is ​:

    1. (a)$\frac{1}{3}$
    2. (b)$\frac{2}{3}$
    3. (c)$\frac{4}{9}$
    4. (d)$\frac{5}{9}$
    Show answer

    (a) $\frac{1}{3}$

    Step-by-step solution →
13. Q193 CBSE 2024
    The ​probability for a ​leap year ​(selected ​at ​random) will contain $53$ Tuesdays is ​:

    1. (a)$\frac{1}{7}$
    2. (b)$\frac{2}{7}$
    3. (c)$\frac{3}{7}$
    4. (d)$\frac{4}{7}$
    Show answer

    (b) $\frac{2}{7}$

    Step-by-step solution →
14. Q194 CBSE 2024
    A box contains cards ​numbered ​6 to 50. A card is drawn at random from the ​box. The probability ​that the ​drawn card ​has a number which is ​a perfect square, is :

    1. (a)$\frac{5}{44}$
    2. (b)$\frac{1}{9}$
    3. (c)$\frac{1}{11}$
    4. (d)$\frac{7}{45}$
    Show answer

    (b) $\frac{1}{9}$

    Step-by-step solution →
15. Q195 CBSE 2024
    Two dice are rolled together. ​The probability of ​getting sum of ​numbers ​on the ​two dice ​as $2,3$ ​or $5$, is ​:

    1. (a)$\frac{7}{36}$
    2. (b)$\frac{11}{36}$
    3. (c)$\frac{5}{36}$
    4. (d)$\frac{4}{9}$
    Show answer

    (a) $\frac{7}{36}$

    Step-by-step solution →
16. Q196 CBSE 2024
    Two ​dice are ​thrown ​together. The ​probability of getting the same ​number ​on both ​dice, is:

    1. (a)$\frac{1}{6}$
    2. (b)$\frac{5}{6}$
    3. (c)$\frac{5}{36}$
    4. (d)$\frac{7}{36}$
    Show answer

    (a) $\frac{1}{6}$

    Step-by-step solution →
17. Q197 CBSE 2024
    Two ​friends ​were ​born in the ​year 2000. ​The probability that they have ​the same birthday is :

    1. (a)$\frac{1}{365}$
    2. (b)$\frac{364}{365}$
    3. (c)$\frac{1}{366}$
    4. (d)$\frac{365}{366}$
    Show answer

    (c) $\frac{1}{366}$

    Step-by-step solution →
18. Q198 CBSE 2024
    For ​an ​event $E$, ​if $P(E)+P(\overline{E})=q$, ​then ​the value of $q^2-4$ ​is ​:

    1. (a)$-3$
    2. (b)3
    3. (c)5
    4. (d)$-5$
    Show answer

    (a) $-3$

    Step-by-step solution →
19. Q199 CBSE 2024
    Two dice ​are ​thrown at the same time and the product ​of the numbers appearing on them is noted. The ​probability that the product of ​the numbers ​lies between 8 and 13 is ​:

    1. (a)$\frac{7}{36}$
    2. (b)$\frac{5}{36}$
    3. (c)$\frac{2}{9}$
    4. (d)$\frac{1}{4}$
    Show answer

    (a) $\frac{7}{36}$

    Step-by-step solution →
20. Q200 CBSE 2024
    Two dice are ​rolled together. ​The probability ​of getting ​a doublet ​is:

    1. (a)$\frac{2}{36}$
    2. (b)$\frac{1}{36}$
    3. (c)$\frac{1}{6}$
    4. (d)$\frac{5}{6}$
    Show answer

    (c) $\frac{1}{6}$

    Step-by-step solution →