The Probability 2 category gathers practice questions focused on intermediate and advanced probability topics. It includes problems on conditional probability, distributions, expected value, and combinatorial methods, each with step‑by‑step solutions to help you master the concepts.
We can see that complete solution: write formula, plug data, do arithmetic. Final value matches Var (X) = E[(X - μ)]². Simple and accurate.
Ref: NCERT Mathematics Class XII — Probability
We can see that using formula we get P(x; μ) = (e-μ) (μx) / x!. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get P(x; μ) = (e-μ) (μx) / x!.
Ref: NCERT Mathematics Class XII — Probability
The trick is we verify Discrete probability distribution by full calculation: use standard identity, substitute, simplify step by step to reach Discrete probability distribution.
Ref: NCERT Mathematics Class XII — Probability
We know that using formula we get 1/16. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 1/16.
Ref: NCERT Mathematics Class XII — Probability
We know that we verify 26 by full calculation: use standard identity, substitute, simplify step by step to reach 26.
Ref: NCERT Mathematics Class XII — Probability
Applying the basic concept, using formula we get 3/5. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 3/5.
Ref: NCERT Mathematics Class XII — Probability
Think of it like this: we verify 13/16 by full calculation: use standard identity, substitute, simplify step by step to reach 13/16.
Ref: NCERT Mathematics Class XII — Probability
Look at it this way: solving fully: apply relevant formula, put numbers, compute. Result comes as 1/5. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Probability
The trick is we verify 7/2 by full calculation: use standard identity, substitute, simplify step by step to reach 7/2.
Ref: NCERT Mathematics Class XII — Probability
The logic is straightforward: using formula we get 5.6. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 5.6.
Ref: NCERT Mathematics Class XII — Probability
Look at it this way: we verify 8 by full calculation: use standard identity, substitute, simplify step by step to reach 8.
Ref: NCERT Mathematics Class XII — Probability
The trick is using formula we get npq. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get npq.
Ref: NCERT Mathematics Class XII — Probability
