Probability

Bihar Board Class 12 · Mathematics · 53 past questions

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1. Q3 2026 Set A2026 Set H2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   If $A$ and $B$ are two events such that $P(A)=\frac{1}{4}$, $P(B)=\frac{1}{3}$ and $P(A\cup B)=\frac{1}{2}$…

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2. Q7 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   10 coins are tossed. What is the probability that exactly 5 heads appear ?

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3. Q9 2026 Set E

   If $A$ and $B$ are two events such that $P(A)=\frac14$, $P(B)=\frac13$ and $P(A\cup B)=\frac12$ then prove…

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4. Q13 2025

   If $P(A) = \dfrac{6}{11}$, $P(B) = \dfrac{5}{11}$ and $P(A \cup B) = \dfrac{7}{11}$ then…

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5. Q15 2025

   If $A$ and $B$ are two events such that $P(A) = \dfrac{1}{2}, P(B) = \dfrac{1}{3}$ and…

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6. Q16 2025

   The probability distribution of a random variable $x$ is following.…

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7. Q22 2025 Set E20172015

   A speak the truth in 75% cases and dB B in 80% of the cases. In what percentage of the cases are they likely…

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8. Q29 2024 Set D2024 Set J

   Evaluate $P(A \cup B)$ if $2P(A) = P(B) = \frac{5}{13}$ and $P(A/B) = \frac{2}{5}$.

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9. Q45 2018

   If A and B are independent events then prove that: $P(A\cup B)=1-P(A')P(B')$

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10. Q46 2018

    Odds are 8:5 against a man, who is 55 years old, living till he is 75 and 4:3 against his wife who is now 48…

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