#1817 · Probability · Conditional probability

Agreement on a colored ball

$A$ speaks the truth $2$ out of $3$ times, and $B$ $4$ times out of $5$ ; they agree in the assertion that from a bag containing $6$ balls of different colours a red ball has been drawn: find the probability that the statement is true.

~10 minAnswer checked instantlyBayes theoremtest reliability

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXXII. Probability, Examples XXXII.d, No. 11

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