Question:
$U_1$, $U_2$, $U_3$ are three urns. $U_1$ contains 5 red, 3 white, 2 black balls; $U_2$ contains 4 red, 4 white, 2 black balls; and $U_3$ contains 3 red, 4 white, 3 black balls. If a ball is chosen at random from an urn chosen at random, then the probability of not getting a black ball is
$U_1$, $U_2$, $U_3$ are three urns. $U_1$ contains 5 red, 3 white, 2 black balls; $U_2$ contains 4 red, 4 white, 2 black balls; and $U_3$ contains 3 red, 4 white, 3 black balls. If a ball is chosen at random from an urn chosen at random, then the probability of not getting a black ball is
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When multiple stages of randomness are involved (like choosing an urn, then a ball), use the law of total probability.
Updated On: Jun 4, 2025
- \( \dfrac{7}{30} \)
- \( \dfrac{23}{30} \)
- \( \dfrac{2}{5} \)
- \( \dfrac{11}{30} \)
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The Correct Option is B
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