Probability · Class 11 Applied Mathematics · Chapter 5
🎲 Probability
CBSE Class 11 Humanities & Commerce · Applied Mathematics · Chapter 1
Take the 20-MCQ CBT25 minutes · timer + scorecard · failed-MCQ → revision deep-link
Start CBT →
Download artefacts
Six free PDFs + an editable PPTX cover every angle of this chapter — read the deck, drill the MCQs, sit the full paper, then check against the marking scheme.
📖Notes Deck
Full lecture deck with teaching paragraphs, misconception red-boxes, and glossary. Read this first.
Download PDF →📝Quick Drill
15 pattern-tagged MCQs with per-Q time budget. Drill under a 20-min timer.
Download PDF →📄Exam Paper
Full exam-pattern paper with sections. Sit it closed-book before checking the marking scheme.
Download PDF →✅Marking Scheme + Topper Templates
Model answers + topper-template structures examiners reward with full credit.
Download PDF →⚡Cheat Sheet
1-page exam-day card: key points, top question patterns, 90-minute revision flow.
Download PDF →👨👩👧For Parents
1-page plain-language parent guide: what's being learned + questions to ask your child.
Download PDF →Top question patterns · CBSE annual / SQP aggregate
| 70% | Two dice are thrown — find P(sum is 7 or 11). — Count outcomes: sum 7 has 6 ways, sum 11 has 2 ways; mutually exclusive → 8/36 = 2/9. | 2 MARKS |
| 65% | From a pack of 52 cards, one card is drawn — P(king or heart). — Use P(A∪B) = P(A) + P(B) − P(A∩B): 4/52 + 13/52 − 1/52 = 16/52 = 4/13. | 2 MARKS |
| 60% | Bag with R red, B black — two drawn without replacement, P(both red). — Multiplication rule: P(red1)·P(red2|red1) = R/(R+B) · (R−1)/(R+B−1). | 3 MARKS |
| 55% | Verify A and B are independent given P(A), P(B), P(A∩B). — Compute P(A)·P(B); if equal to P(A∩B) → independent; else dependent. | 2 MARKS |
| 80% | Two factories / two urns Bayes problem. — Define A1, A2, E; write P(E) by total probability; apply Bayes; report as simple fraction. | 5 MARKS |
Want chapter-by-chapter pacing, daily MCQs and parent reports?Helpline +91 70330 05444 · Boards prep that builds confidence, not anxiety.
Start free trial →