Multiple choice general knowledge math & puzzles

A woman is chosen at random among all women that have two children. She is asked do you have at least one boy, and she answers 'yes.' What is the probability her other child is a boy? Assume every pregnancy has a 50/50 chance to be a boy or a girl.

  1. 1/3

  2. 2/3

  3. 1

  4. NONE

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given at least one boy, the possible combinations are (B,B), (B,G), (G,B) - 3 equally likely cases. Only (B,B) has two boys, so probability = 1/3. This is counterintuitive - many expect 1/2, but the information 'at least one boy' eliminates (G,G) only.