Probability

Bihar Board Class 12 · Mathematics · 53 past questions

41 of 53 · show all

1. Q1 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B

   $1 - P(A' \cap B') =$

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2. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   If $A$, $B$ and $C$ are three independent events then $P(ABC) =$

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3. Q4 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   Two dice are thrown. Find the probability that the numbers appeared have the sum 8 if the second die always…

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4. Q5 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $P(A)=\frac{7}{13},\ P(B)=\frac{9}{13},\ P(A\cap B)=\frac{4}{13} \Rightarrow P(A/B) =$

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5. Q6 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   If the odds against the event $A$ is $3 : 7$ then $P(A) =$

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6. Q8 2026 Set C2026 Set D2021 Set J2021 Set I

   $1-P(A'\cap B') =$

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7. Q10 2025

   Let $E$ be an event of a sample space $S$ of an experiment, then $P\left(\frac{S}{E}\right) =$

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8. Q11 2025

   If $P(A) = \frac{5}{11}$, $P(B) = \frac{7}{11}$ and $P(A \cap B) = \frac{3}{11}$ then…

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9. Q12 2025

   A family has two children. If it is known that at least one child is a boy, then the probability that both…

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10. Q14 2025

    If $E$ and $F$ are independent events then $P(E' \cap F') =$

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11. Q18 2025 Set A2025 Set E

    If odds in favour of event $E$ be $a : b$, then $P(E) =$

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12. Q19 2025 Set A2025 Set E

    The chance of getting a doublet in a throw of 2 dice is

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13. Q20 2025 Set A2025 Set E

    Addition theorem of probability is

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14. Q21 2025 Set A2025 Set E

    Multiplication theorem of probability is

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15. Q23 2024 Set D2024 Set J

    If events $A$ and $B$ are independent then

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16. Q24 2024 Set D2024 Set J

    The probability of drawing a king from a pack of 52 cards is

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17. Q25 2024 Set D2024 Set J

    A coin is tossed 10 times. The probability of getting exactly six heads is

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18. Q26 2024 Set D2024 Set J

    $P(A)=\frac{6}{11},\ P(B)=\frac{5}{11},\ P(A\cup B)=\frac{7}{11}\Rightarrow P(A\cap B)=$

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19. Q27 2024 Set D2024 Set J

    Find the mean for the following probability distribution…

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20. Q28 2024 Set D2024 Set J

    $P(A)=\frac{1}{3},\ P(B)=\frac{1}{4},\ P(A \cap B)=\frac{1}{5} \Rightarrow P(B/A) =$

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21. Q31 20232023 Set E

    If A and B are independent events, P(A) = 0.3 and P(B) = 0.4 then P(A∩B) =

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22. Q32 20232023 Set E

    $P(A)=\dfrac{7}{11}, P(B)=\dfrac{9}{11}, P(A\cap B)=\dfrac{4}{11}\Rightarrow P(A/B)=$

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23. Q33 20232023 Set E

    $P(E)=\dfrac{3}{7}, P(F)=\dfrac{5}{7}, P(E\cup F)=\dfrac{6}{7}\Rightarrow P(E\cap F)=$

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24. Q34 2023 Set E

    A bag contains 4 red and 5 white balls and another bag contains 5 black and 6 green balls. A ball is taken…

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25. Q35 2021 Set J2021 Set I

    If $A$ and $B$ be two events then $P\left(\frac{A}{B}\right)+P\left(\frac{A'}{B}\right)=$

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26. Q36 2021 Set J2021 Set I

    If $A$, $B$ and $C$ are three independent events then

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27. Q37 2021 Set J2021 Set I

    $P(A)+P(A')=$

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28. Q38 2019 Set F

    If $P(A)=\frac{3}{8}$, $P(B)=\frac{1}{2}$, $P(A\cap B)=\frac{1}{4}$, then $P(A\cup B)=?$

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29. Q39 2019 Set F

    $P(A \cup B) = ?$

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30. Q40 2019 Set F

    $P(E)=\ ?$

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31. Q41 2019 Set F

    $P(A) + P(A') = ?$

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32. Q42 2018

    If A' and B' are independent events then…

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33. Q43 2018

    If events A and B are mutually exclusive then…

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34. Q44 2018

    If A and B are two events such that $P(A)\neq 0$ and $P\left(\frac{B}{A}\right)=1$

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35. Q47 2017

    If A and B are two independent event then $P(A\cap B)=$

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36. Q48 2017

    If S be the sample space and E be the event then $P(E)=...........$

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37. Q49 2017

    If A,B and C are three event independent of each other then $P(A\cap B\cap C)=$

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38. Q50 2017

    If $P(A)=\frac{3}{8}$, $P(B)=\frac{1}{2}$ and $P(A\cap B)=\frac{1}{4}$ then $P(A\cup B)=$ ...........

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39. Q51 20162015

    If A and B are two independent events, then

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40. Q52 2016

    What is the chance of getting 7 or 11 with two dice?

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41. Q53 2015

    If $P(A)=\frac{3}{8}, P(B)=\frac{1}{2}, P(A\cap B)=\frac{1}{4}$ =

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