Question:medium

An urn contains 7 red, 5 white and 3 black balls. Three balls are drawn randomly one after the other without replacement. If it is known that first ball drawn is red and the second ball drawn is white, then the probability that the third ball drawn is not red is

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In conditional probability problems involving sequential draws without replacement, simply update the composition of the set (the urn, in this case) after each known event. The probability of the next event is then calculated based on this new composition.

Updated On: Mar 30, 2026

\( \frac{10}{13} \)
\( \frac{8}{13} \)
\( \frac{12}{13} \)
\( \frac{7}{13} \)

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The Correct Option is D

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