Lemma
MediumConditional probability
#181 · Probability · Conditional probability

At least one boy

A family has two children, and you learn that at least one is a boy. Assuming each child is independently a boy or girl with probability , what is the probability both are boys?

~4 minAnswer checked instantlyConditioningSample space

Classical — popularised by Martin Gardner (1959)

Stuck? A gentle nudge
Something off?
Workspace
Your answer
Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.