Lemma
MediumConditional probability
#1808 · Probability · Conditional probability

Unknown bag of four balls

There are four balls in a bag, but it is not known of what colours they are; one ball is drawn and found to be white: find the chance that all the balls are white.

~10 minAnswer checked instantlyBayes theoremconditional probability

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXXII. Probability, Examples XXXII.d, No. 1

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