Probability

CBSE Class 12 · Mathematics · 31 past questions

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1. 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)

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2. 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…

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3. Q4 2026

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

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4. Q5 2026

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

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5. Q8 2025

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

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6. 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

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7. 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.…

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8. Q12 2025

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

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9. Q13 2024

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

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10. Q14 2024

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

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11. 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…

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12. Q17 2024

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

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13. Q19 2024

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

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14. Q20 2024

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

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15. Q22 2023

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

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16. Q23 2023

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

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17. Q26 2023

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

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18. Q28 2023

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

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19. Q30 2022

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

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20. Q31 2022

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

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