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WBJEE · Maths · Probability

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

  1. A \(1 / 2\).
  2. B \(1 / 3\)
  3. C \(2 / 3\)
  4. D \(7 / 10\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2 / 3\)

Step-by-step Solution

Detailed explanation

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 \(=\frac{2}{3}\)