NCERT Class 12 · Ch 13 Exercise 13.2 · Q2
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 2
Draw two cards without replacement from 52. Find the probability both are black.
💡 Concept Hints
- Define the events and identify which event is being conditioned on.
- Use P(E|F)=P(E∩F)/P(F), or separate the possible sources before applying total probability and Bayes.
✅ Step-by-Step Solution
Final Answer: 25/102.
- The first card is black with probability 26/52. Given that, 25 black remain among 51 cards.
- Multiply (26/52)(25/51)=25/102. Equivalently choose(26,2)/choose(52,2).
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