Lemma
MediumConditional probability
#1809 · Probability · Conditional probability

Six balls of unknown colours

In a bag there are six balls of unknown colours; three balls are drawn and found to be black; find the chance that no black ball is left in the bag.

~10 minAnswer checked instantlyBayes theoremconditional probability

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXXII. Probability, Examples XXXII.d, No. 2

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