🧠The Boy or Girl Paradox (Conditional Probability) Mr…
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🧠The Boy or Girl Paradox (Conditional Probability)
Mr. Smith has two children. At least one of them is a boy. What is the probability that both children are boys: 50% or 33.3%?
💬 Did you immediately guess 50%? Conditional probability catches almost everyone off guard! (Solution in first comment 👇)
#brain #probability #statistics #mathquiz #counterintuitive
Mr. Smith has two children. At least one of them is a boy. What is the probability that both children are boys: 50% or 33.3%?
💬 Did you immediately guess 50%? Conditional probability catches almost everyone off guard! (Solution in first comment 👇)
#brain #probability #statistics #mathquiz #counterintuitive
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💡 SCIENCE BEHIND THE ILLUSION:
It is 1/3 (33.3%)! The sample space of two children is {Boy-Boy, Boy-Girl, Girl-Boy, Girl-Girl}. Since at least one is a boy, we eliminate {Girl-Girl}. Of the remaining 3 equally likely possibilities {BB, BG, GB}, only 1 is Boy-Boy!
It is 1/3 (33.3%)! The sample space of two children is {Boy-Boy, Boy-Girl, Girl-Boy, Girl-Girl}. Since at least one is a boy, we eliminate {Girl-Girl}. Of the remaining 3 equally likely possibilities {BB, BG, GB}, only 1 is Boy-Boy!
