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Question: Answered & Verified by Expert
Ram is visiting a friend. Ram knows that his friend has 2 children and 1 of them is a boy. Assuming that a child is equally likely to be a boy or a girl, then the probability that the other child is a girl, is
MathematicsProbabilityWBJEEWBJEE 2014
Options:
  • A $1 / 2$.
  • B $1 / 3$
  • C $2 / 3$
  • D $7 / 10$
Solution:
2970 Upvotes Verified Answer
The correct answer is: $2 / 3$
Total sample space $=\left\{B_{1} B_{2}, B_{1} G_{1}, G_{1} B_{2}\right\}$
Favourable ways $=\left\{B_{1} G_{1}, G_{1} B_{2}\right\}$
$\therefore$ Required probability $=\frac{2}{3}$

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