CBSE 12th Probability Important Question 2025 for 95 Percentile: Check 13 Important PYQ

Candidates can check the detailed CBSE 12th Probability Important Question 2025 for 95 Percentile given here. Students can also practice all the 13 questions provided here to better preparation.

Arni Sinha

Updated on -Jan 14, 2025 | 05:52 PM IST

CBSE 12th Probability Important Question 2025 for 95 Percentile is mentioned here

CBSE 12th Probability Important Question 2025 for 95 Percentile: Since the CBSE 12th Maths 2025 will be conducted on March 8, 2025, students who are appearing for the Mathematics paper must be also preparing for the Probability chapter. A lot of questions are usually asked from this chapter. Therefore, the candidates need to be well prepared with this chapter. Candidates can check all the details given below to know the CBSE 12th Probability Important Question 2025 for 95 Percentile. Students must practice all the important questions for the CBSE 12th Probability 2025 to score as high as the 95 percentile. With a higher percentile in CBSE 12th Maths 2025, candidates will score really well in the overall aggregate. Candidates can also note down all the CBSE 12th Probability Important Question 2025 for future reference.

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CBSE 12th Probability Important Question 2025 for 95 Percentile

Below, students can check all the CBSE 12th Probability Important Question 2025 for 95 Percentile in detail:

Question 1: Let E be an event of a sample space S of an experiment then P(SIE) =

(a) P(SnE)
(b) P(E)
(c) 1
(d) 0

Question 2: If the sum of numbers obtained on throwing a pair of dice is 9, then the probability that the number obtained on one of the dice is 4 is: ∩

(a)1/9
(b)4/9
(c) 1/18
(d)1/2

Question 3: Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

(a) P(E) (a) Both (A) and (R) are true and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true but (R) is not the correct explanation of (A).
(c) (A) is true, and (R) is false.
(d) (A) is false, but (R) is true.

(A) Two coins are tossed simultaneously. The probability of getting two heads, if it is known that at least one head comes up, is 1/3.
(R) Let E and F be two events with a random experiment, then P(F/E) = P(E∩F)/P(E).

Question 4: 12 cards numbered 1 to 12 (one number on one card) are placed in a box and mixed up thoroughly. Then, a card is drawn at random from the box. If it is known that the number on the drawn card is greater than 5, find the probability that the card bears an odd number.

Question 5: A die is thrown three times. Events A and B are defined as below:

(a) 5 on the first and 6 on the second throw.
(b) 3 or 4 on the third throw.

Find the probability of B, given that A has already occurred.

Question 6: Five fair coins are tossed simultaneously. The probability of the events that at least one head comes up is:

(a)27/32
(b)5/32
(c)31/32
(d)1/32

Question 7: A problem in Mathematics is given to three students whose chances of solving it are 1/2, 1/3, and 1/4, respectively. If the events of their solving the problem are independent, then the probability that the problem will be solved is:

(a)1/4
(b)1/3
(c) 1/2
(d)3/4

Question 8: The events E and F are independent. If P(E) = 0.3 and P(E U F) = 0.5, then P(E/F) - P(F/E):

(a)1/7
(b)2/7
(c)3/35
(d)1/70

Question 9: Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6 and P(A' ∩ B') is

(a) 0.9
(b) 0.18
(c) 0.28
(d) 0.1

Question 10: Two cards are drawn at random and one by one without replacement from a well-shuffled pack of 52 playing cards. Find the probability that one card is red and the other is black.

Question 11: A die marked 1,2,3 in red and 4,5,6 in green is tossed. Let A be the event "number is even" and B be the event "number is marked red" Find whether the events A and B are independent or not.

Question 12: Prove that if E and F are independent events, then the events E and F' are also independent.

Question 13: A and B throw a die alternatively till one of them gets a number greater than four and wins the game. If A starts the game, what is the probability of B winning?

Candidates are advised to practice all the CBSE 12th Probability Important Question 2025 for 95 Percentile to score better in the board examination.

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