Multiplication Theorem, Independent Events
Maths Higher · Grade 12 · Week 38 · 25 questions
Multiplication Theorem, Independent Events is a core Grade 12 mathematics chapter carrying significant board weight, covering core concepts. This chapter regularly carries 8-13 marks in CBSE Grade 12 — theorems + application problems are standard.
What you'll practise
- Master the key derivations and worked examples from NCERT for multiplication theorem, independent events
- Solve CBSE board-pattern problems from multiplication theorem, independent events including NCERT exemplar-level questions
All 25 questions in this Multiplication Theorem, Independent Events quiz
Grade 12 Maths Higher — Multiplication Theorem, Independent Events: 25 practice questions with instant scoring and explanations.
- Multiplication theorem:
- Independence: A, B independent iff:
- If A, B, C independent: P(A∩B∩C) =
- Mutual independence requires:
- Two fair dice: events independent?:
- P(A∩B∩C) = P(A)P(B)P(C) needs:
- Complement independent if A independent:
- Correlated events:
- Bernoulli trial:
- Binomial: n independent Bernoulli:
- Multiplication for multiple events:
- Tree diagrams show:
- Independence and mutual exclusivity:
- If A, B mutually exclusive and independent:
- Sequential independence: draw with replacement:
- Without replacement:
- Birthday problem assumes:
- Joint distribution: P(X=x, Y=y) when independent:
- Conditional distribution: f(Y|X=x) when independent:
- Covariance Cov(X,Y) = 0 when:
- For independent variables: E[XY] =
- Variance: Var(X+Y) =
- Correlation coefficient when independent:
- Independence in multivariate:
- If P(A) = 0.6, P(B) = 0.5 and A, B are independent, P(A∩B):
Question 1 of 250 correct so far