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NCERT Class 12 · Ch 13 Exercise 13.2 · Q3

NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 3

Inspect three uniformly drawn oranges without replacement from 15, of which 12 are good. Approve only if all three are good. Find approval probability.

💡 Concept Hints

  1. Define the events and identify which event is being conditioned on.
  2. 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: 44/91
  1. Multiply successive good-draw probabilities (12/15)(11/14)(10/13).
  2. Equivalently choose(12,3)/choose(15,3)=220/455=44/91.

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