← CBSE Class 12 PYQ

Probability

CBSE Class 12 · Mathematics · 31 past questions

Q1 2026

In an online jackpot, there is one first prize of ₹ 3,00,000, two second prizes of ₹ 2,00,000 each and three… (with a figure)
Q2 2026

For two events A and B such that $P(A) \ne 0$ and $P(B) \ne 1$, $P(A'/B') =$
Q3 2026

If E and F are two independent events such that $P(E) = \frac{3}{10}$, $P(E \cup F) = \frac{1}{2}$, then…
Q4 2026

A survey was conducted on the patients who have undergone knee replacement surgeries. It was found that… (with a figure)
Q5 2026

A survey was conducted to find out the success rate of students who qualified the entrance examination by… (with a figure)
Q6 2025

If E and F are two independent events such that $P(E) = \frac{2}{3}$, $P(F) = \frac{3}{7}$, then…
Q7 2025

The probability distribution for the number of students being absent in a class on a Saturday is as follows…
Q8 2025

A bank offers loan to its customers on different types of interest namely, fixed rate, floating rate and… (with a figure)
Q9 2025

If E and F are two events such that $P(E) > 0$ and $P(F) \ne 1$, then $P(\overline{E}/\overline{F})$ is
Q10 2025

A die with number 1 to 6 is biased such that $P(2) = \frac{3}{10}$ and probability of other numbers is equal.…
Q11 2025

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…
Q12 2025

Some students are having a misconception while comparing decimals. For example, a student may mention that…
Q13 2024

If $P(A|B) = P(A'|B)$, then which of the following statements is true ?
Q14 2024

According to recent research, air turbulence has increased in various regions around the world due to climate… (with a figure)
Q15 2024

Let E and F be two events such that P(E) = 0·1, P(F) = 0·3, P(E $\cup$ F) = 0·4, then P(F | E) is…
Q16 2024

The chances of P, Q and R getting selected as CEO of a company are in the ratio $4 : 1 : 2$ respectively. The…
Q17 2024

Self-study helps students to build confidence in learning. It boosts the self-esteem of the learners. Recent… (with a figure)
Q18 2024

Let E be an event of a sample space S of an experiment, then P(S|E) =
Q19 2024

A pair of dice is thrown simultaneously. If $X$ denotes the absolute difference of the numbers appearing on…
Q20 2024

Airplanes are by far the safest mode of transportation when the number of transported passengers are measured… (with a figure)
Q21 2023

If $P(A \cap B) = \frac{1}{8}$ and $P(\bar{A}) = \frac{3}{4}$, then $P\left(\frac{B}{A}\right)$ is equal to…
Q22 2023

A pair of dice is thrown simultaneously. If X denotes the absolute difference of numbers obtained on the pair…
Q23 2023

An octagonal prism is a three-dimensional polyhedron bounded by two octagonal bases and eight rectangular… (with a figure)
Q24 2023

If $P\left(\frac{A}{B}\right) = 0.3$, $P(A) = 0.4$ and $P(B) = 0.8$, then $P\left(\frac{B}{A}\right)$ is…
Q25 2023

The probability distribution of a random variable X is given below…
Q26 2023

There are different types of Yoga which involve the usage of different poses of Yoga Asanas, Meditation and… (with a figure)
Q27 2023

If the sum of numbers obtained on throwing a pair of dice is 9, then the probability that number obtained on…
Q28 2023

Two balls are drawn at random one by one with replacement from an urn containing equal number of red balls…
Q29 2022

Let A and B be two events such that $P(A)=\frac{5}{8}$, $P(B)=\frac{1}{2}$ and $P(A/B)=\frac{3}{4}$. Find the…
Q30 2022

Two balls are drawn at random from a bag containing 2 red balls and 3 blue balls, without replacement. Let…
Q31 2022

A card from a pack of 52 playing cards is lost. From the remaining cards, 2 cards are drawn at random without…