Probability

Bihar Board Class 12 · Mathematics · 53 past questions

9 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. 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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4. 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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5. 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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6. 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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7. 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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8. Q8 2026 Set C2026 Set D2021 Set J2021 Set I

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

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9. 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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