Probability PYQs
Master coin tosses, dice, cards, and theoretical probability through verified PYQs.
Build each answer from favourable outcomes and the total number of equally likely outcomes. These questions cover complements, repeated trials, card selection, and dice or coin experiments so you can show a complete probability method in concise CBSE exam steps.
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CBSE Board Exam Blueprint & Topic Weightage: Probability
In the Class 10 CBSE Board Examination, Probability is a high-yielding component of Unit 7: Statistics & Probability, consistently carrying 3 to 4 marks in the annual 80-mark written board paper. Recurring question formats observed over past board papers include:
- Section A (1 Mark MCQ): Probability of sure event (1), impossible event (0), range of probability \(0 \le P(E) \le 1\), and relation \(P(E) + P(\text{not } E) = 1\).
- Section B (2 Marks): Tossing two coins simultaneously (sample space 4 outcomes), tossing a single fair die (primes, odd, numbers greater than 4), or selecting colored balls/marbles from an urn.
- Section C (3 Marks): Well-shuffled deck of 52 playing cards (face cards, black kings, red aces, spades) or tossing two dice simultaneously (36 outcomes: sum equal to 8, doublet, sum at least 10).
Key Revision Tips & Common Pitfalls
In playing card questions, remember that a standard deck has 12 face cards (4 Kings, 4 Queens, 4 Jacks) and 4 Aces (Aces are not face cards). In two-dice problems, always write the total number of elementary outcomes as \(6 \times 6 = 36\) before listing favourable outcomes.