Probability
(2025)
Q.1 Assertion (A) : If A and B are two events such that P(A∩B)=0, then A and B
are independent events.
Reason (R) : Two events are independent if the occurrence of one does not
effect the occurrence of the other. (1 Mark) (CBSE 2025 - 65/4/1)
A. Assertion (A) is true, but Reason (R) is false.
B. Assertion (A) is false, but Reason (R) is true.
C. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the
correct explanation of the Assertion (A).
D. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct
explanation of the Assertion (A).
Q.2 A box has 4 green, 8 blue and 3 red pens. A student picks up a pen at
random, checks its colour and replaces it in the box. He repeats this process 3
times. The probability that at least one pen picked was red is :
(1 Mark) (CBSE 2025 - 65/6/1)
A.
B.
C.
,D.
Q.3
(1 Mark) (CBSE 2025 - 65/2/1)
A. 1−P(E/F)
B.
C.
D.
Q.4
(1 Mark) (CBSE 2025 - 65/7/1)
A.
B.
,C.
D.
Q.5 A coin is tossed and a card is selected at random from a well shuffled pack of
52 playing cards. The probability of getting head on the coin and a face card
from the pack is : (1 Mark) (CBSE 2025 - 65/7/1)
A.
B.
C.
D.
Q.6
(1 Mark) (CBSE 2025 - 65/5/1)
A. 0.7
B. 1
, C. 0.3
D. 1.3
Q.7
(1 Mark) (CBSE 2025 - 65/1/1)
A.
B.
C.
D.
Q.8 10 identical blocks are marked with ' 0 ' on two of them, ' 1 ' on three of
them, ' 2 ' on four of them and ' 3 ' on one of them and put in a box. If X denotes
the number written on the block, then write the probability distribution of X
and calculate its mean. (2 Mark) (CBSE 2025 - 65/7/1)
Q.9 In a village of 8000 people, 3000 go out of the village to work and 4000 are
women. It is noted that 30% of women go out of the village to work. What is the
probability that a randomly chosen individual is either a woman or a person
working outside the village? (2 Mark) (CBSE 2025 - 65/7/1)
(2025)
Q.1 Assertion (A) : If A and B are two events such that P(A∩B)=0, then A and B
are independent events.
Reason (R) : Two events are independent if the occurrence of one does not
effect the occurrence of the other. (1 Mark) (CBSE 2025 - 65/4/1)
A. Assertion (A) is true, but Reason (R) is false.
B. Assertion (A) is false, but Reason (R) is true.
C. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the
correct explanation of the Assertion (A).
D. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct
explanation of the Assertion (A).
Q.2 A box has 4 green, 8 blue and 3 red pens. A student picks up a pen at
random, checks its colour and replaces it in the box. He repeats this process 3
times. The probability that at least one pen picked was red is :
(1 Mark) (CBSE 2025 - 65/6/1)
A.
B.
C.
,D.
Q.3
(1 Mark) (CBSE 2025 - 65/2/1)
A. 1−P(E/F)
B.
C.
D.
Q.4
(1 Mark) (CBSE 2025 - 65/7/1)
A.
B.
,C.
D.
Q.5 A coin is tossed and a card is selected at random from a well shuffled pack of
52 playing cards. The probability of getting head on the coin and a face card
from the pack is : (1 Mark) (CBSE 2025 - 65/7/1)
A.
B.
C.
D.
Q.6
(1 Mark) (CBSE 2025 - 65/5/1)
A. 0.7
B. 1
, C. 0.3
D. 1.3
Q.7
(1 Mark) (CBSE 2025 - 65/1/1)
A.
B.
C.
D.
Q.8 10 identical blocks are marked with ' 0 ' on two of them, ' 1 ' on three of
them, ' 2 ' on four of them and ' 3 ' on one of them and put in a box. If X denotes
the number written on the block, then write the probability distribution of X
and calculate its mean. (2 Mark) (CBSE 2025 - 65/7/1)
Q.9 In a village of 8000 people, 3000 go out of the village to work and 4000 are
women. It is noted that 30% of women go out of the village to work. What is the
probability that a randomly chosen individual is either a woman or a person
working outside the village? (2 Mark) (CBSE 2025 - 65/7/1)
