Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityConditional probabilityMedium2 minQB
MathematicsMediumnumerical

An urn has 3 white and 7 black balls. Each drawn ball is replaced by a black ball. If is the probability that all white balls have been drawn by the fourth draw, find .

Answer:
0.36
Solution:

The white-white-black-white, white-black-white-white and black-white-white-white orders contribute over . Thus , so .

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Conditional probability
2mℹ️ Source: QB

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