Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minQB
MathematicsMediumsingle choice
Passage / Comprehension

Urns I, II, III contain (W,B)=(3,3), (2,3), (4,2), respectively. A die is rolled: a prime number selects Urn I, a composite number selects Urn II, and otherwise Urn III is selected. A white ball is drawn.

Without replacement, another ball is drawn from the same urn. Find the probability it is black.

Options:

Answer:
A
Solution:

Weight the second-draw black probabilities by posterior urn probabilities: .

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)
2mℹ️ Source: QB

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