#1811 · Probability · Conditional probability

Chances after a racing accident

Before a race the chances of three runners, $A$ , $B$ , $C$ , were estimated to be proportional to $5, 3, 2$ ; but during the race $A$ meets with an accident which reduces his chance to one-third. What are now the respective chances of $B$ and $C$ ?

~10 minAnswer checked instantlyconditional probabilityodds and chances

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXXII. Probability, Examples XXXII.d, No. 4

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