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NCERT Class 12 · Ch 13 Miscellaneous Exercise · Q2

NCERT Class 12 Maths · Chapter 13 Probability · Miscellaneous Exercise Question 2

A couple has two independently equally likely boy/girl children. Find (i) P(both male|at least one male), (ii) P(both female|elder female).

💡 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: (i) 1/3; (ii) 1/2.
  1. Use elder-younger ordered space {BB,BG,GB,GG}.
  2. (i) At least one boy leaves BB,BG,GB; only BB qualifies. (ii) Elder girl leaves GB,GG; only GG qualifies.

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