Lemma
MediumConditional probability
#1813 · Probability · Conditional probability

Two-headed shilling

A man has 10 shillings and one of them is known to have two heads. He takes one at random and tosses it 5 times and it always falls head: what is the chance that it is the shilling with two heads?

~10 minAnswer checked instantlyBayes theoremrepeated trials

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXXII. Probability, Examples XXXII.d, No. 6

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.

Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).