#1815 · Probability · Conditional probability
Die sum with a given first throw
A die is thrown three times, and the sum of the three numbers thrown is 15: find the chance that the first throw was a four.
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXXII. Probability, Examples XXXII.d, No. 9
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).