Class 10 Maths · Chapter 14

Probability

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

CBSE Class 10 Maths previous year papers, with answers →

Questions · page 5 of 6

1. Q81 CBSE 2026
   Which ​of the following ​can not be the probability of ​an ​event?

   1. (a)$\frac{39}{100}$
   2. (b)$\frac{0.001}{20}$
   3. (c)$\frac{10}{0.2}$
   4. (d)$10\%$
   Show answer

   (c) $\frac{10}{0.2}$

   Step-by-step solution →
2. Q82 CBSE 2026
   A card is ​drawn at random from a well shuffled ​deck of $52$ ​playing cards. The ​probability that it is either a ten or a ​king ​is :

   1. (a)$\frac{1}{26}$
   2. (b)$\frac{2}{13}$
   3. (c)$\frac{1}{13}$
   4. (d)$\frac{8}{26}$
   Show answer

   (b) $\frac{2}{13}$

   Step-by-step solution →
3. Q83 CBSE 2026
   A bag contains some red and some white balls. A ball is ​drawn at random ​from ​the ​bag. If the probability of getting a red ball is $\frac{2}{7}$, then the probability ​of getting ​a white ball ​is

   1. (a)$\frac{1}{14}$
   2. (b)$\frac{5}{7}$
   3. (c)$\frac{1}{7}$
   4. (d)$\frac{2}{7}$
   Show answer

   (b) $\frac{5}{7}$

   Step-by-step solution →
4. Q84 CBSE 2026
   One ​ticket is drawn at random ​from ​a bag containing $50$ tickets numbered $1$ to $50$. The probability ​that the drawn ticket has ​a number which is a multiple of $7$ is ​:

   1. (a)$\frac{1}{5}$
   2. (b)$\frac{7}{50}$
   3. (c)$\frac{3}{25}$
   4. (d)$\frac{4}{25}$
   Show answer

   (b) $\frac{7}{50}$

   Step-by-step solution →
5. Q85 CBSE 2026
   A card ​is drawn ​from ​a well-shuffled deck ​of $52$ ​playing ​cards. The probability of getting a queen of ​spade is

   1. (a)$\frac{1}{26}$
   2. (b)$\frac{1}{52}$
   3. (c)$0$
   4. (d)$\frac{1}{4}$
   Show answer

   (b) $\frac{1}{52}$

   Step-by-step solution →
6. Q86 CBSE 2026
   Meena calculates that ​the probability ​of her winning the first ​prize in ​a lottery is $0.08$. If total $800$ ​tickets were ​sold, the number of ​tickets bought by her, is

   1. (a)$64$
   2. (b)$640$
   3. (c)$100$
   4. (d)$10$
   Show answer

   (a) $64$

   Step-by-step solution →
7. Q87 CBSE 2026
   Two ​dice ​are thrown simultaneously. ​The probability ​of ​getting ​a ​sum of $7$ is :

   1. (a)$\frac{2}{9}$
   2. (b)$\frac{1}{9}$
   3. (c)$\frac{5}{36}$
   4. (d)$\frac{1}{6}$
   Show answer

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

   Step-by-step solution →
8. Q88 CBSE 2026
   A card is drawn from a packet of $50$ identical cards ​numbered from $1$ ​to $50$. ​The probability of drawing ​a ​number which ​is a ​perfect square, ​is :

   1. (a)$\frac{7}{50}$
   2. (b)$\frac{8}{50}$
   3. (c)$\frac{6}{50}$
   4. (d)$\frac{10}{50}$
   Show answer

   (a) $\frac{7}{50}$

   Step-by-step solution →
9. Q89 CBSE 2026
   A die is ​thrown once. ​Probability of ​getting ​a ​number ​other ​than $3$ is :

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

   (c) $\frac{5}{6}$

   Step-by-step solution →
10. Q90 CBSE 2026
    The probability ​for a ​randomly selected number ​out ​of $1,2,3,4,\dots ,25$ ​to be ​a composite number is :

    1. (a)$\frac{15}{25}$
    2. (b)$\frac{10}{25}$
    3. (c)$\frac{11}{25}$
    4. (d)$\frac{9}{25}$
    Show answer

    (a) $\frac{15}{25}$

    Step-by-step solution →
11. Q91 CBSE 2026
    The probability ​of getting a sum of $7$, when ​two ​dice are ​thrown ​simultaneously, is ​:

    1. (a)$\frac{1}{9}$
    2. (b)$\frac{1}{12}$
    3. (c)$\frac{1}{6}$
    4. (d)$\frac{5}{36}$
    Show answer

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

    Step-by-step solution →
12. Q92 CBSE 2026
    An unbiased ​die ​is thrown once. The probability of getting an ​even ​prime ​number greater than 2 ​is :

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

    (d) $0$

    Step-by-step solution →
13. Q93 CBSE 2026
    From a bag ​containing yellow, ​red and green balls, ​the probability of drawing a yellow or ​red ​ball ​is equal ​to that of drawing a green ball. The probability of drawing a green ball from the ​bag is :

    1. (a)$\frac{1}{3}$
    2. (b)$\frac{1}{2}$
    3. (c)$1$
    4. (d)Not possible to find
    Show answer

    (b) $\frac{1}{2}$

    Step-by-step solution →
14. Q94 CBSE 2026
    In the ​question, ​a statement ​of Assertion (A) is followed by ​a ​statement of Reason (R). Choose the correct ​option.

    Assertion (A): The probability that a leap year has $53$ Mondays is $\frac{2}{7}$.

    Reason (R): The probability that a non-leap year has $53$ Mondays is $\frac{5}{7}$.

    1. (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
    2. (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
    3. (c)Assertion (A) is true, but Reason (R) is false.
    4. (d)Assertion (A) is false, but Reason (R) is true.
    Show answer

    (c) Assertion (A) is true, but Reason (R) is false.

    Step-by-step solution →
15. Q95 CBSE 2026
    Directions ​: ​In the following question, ​a statement of Assertion (A) is followed by a statement of ​Reason ​(R). Choose the correct ​option.

    Assertion (A): If probability of happening of an event is $0.2p$, $p>0$, then $p$ can't be more than $5$.

    Reason (R): $P(\overline{E})=1-P(E)$ for an event $E$.

    1. (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
    2. (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
    3. (c)Assertion (A) is true, but Reason (R) is false.
    4. (d)Assertion (A) is false, but Reason (R) is true.
    Show answer

    (b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

    Step-by-step solution →
16. Q96 CBSE 2026
    Direction : In the following question, a statement of Assertion ​(A) ​is followed by ​a statement of ​Reason (R). Choose ​the ​correct option.

    Assertion (A): The probability of an event can not be $\frac{1}{0.9}$.

    Reason (R): $0\le P(E)\le 1$ for an event $E$.

    1. (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
    2. (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
    3. (c)Assertion (A) is true, but Reason (R) is false.
    4. (d)Assertion (A) is false, but Reason (R) is true.
    Show answer

    (a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

    Step-by-step solution →
17. Q97 CBSE 2026
    Assertion (A): From a bag containing $5$ red balls, $2$ white balls and $3$ green balls, the probability of drawing a non-white ball is $\frac{4}{5}$.

    Reason (R): For any event $E$, $P(E)+P(\text{not }E)=1$

    1. (a)Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
    2. (b)Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
    3. (c)Assertion (A) is true, but Reason (R) is false.
    4. (d)Assertion (A) is false, but Reason (R) is true.
    Show answer

    (a) Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

    Step-by-step solution →
18. Q98 CBSE 2026
    Select ​the correct ​answer from the ​codes ​(a), ​(b), ​(c) and (d) as given ​below.

    Assertion (A): The probability of a certain event $E$ is $1$.

    Reason (R): The sum of probabilities of all elementary events of an experiment is $1$.

    1. (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
    2. (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
    3. (c)Assertion (A) is true, but Reason (R) is false.
    4. (d)Assertion (A) is false, but Reason (R) is true.
    Show answer

    (a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

    Step-by-step solution →
19. Q99 CBSE 2026
    Assertion (A): The events “getting $2$” and “not getting $2$” in a single throw of an unbiased die are not equally likely events.

    Reason (R): The probability of getting $2$ in a single throw of an unbiased die is $\frac{1}{6}$.

    1. (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
    2. (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
    3. (c)Assertion (A) is true, but Reason (R) is false.
    4. (d)Assertion (A) is false, but Reason (R) is true.
    Show answer

    (a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

    Step-by-step solution →
20. Q100 CBSE 2026
    In the following ​question, ​a ​statement ​of Assertion (A) is followed by ​a statement ​of Reason (R). Choose the correct ​option.

    Assertion (A): The probability that the date of birth of a man is in the month of June is $\frac{1}{12}$.

    Reason (R): There are $12$ months in a year.

    1. (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
    2. (b)Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
    3. (c)Assertion (A) is true but Reason (R) is false.
    4. (d)Assertion (A) is false but Reason (R) is true.
    Show answer

    (d) Assertion (A) is false but Reason (R) is true.

    Step-by-step solution →