Mathematics - Probability Question with Solution | TestHub
MathematicsProbabilityTotal probability/Bay's TheoremMedium2 minQB
MathematicsMediumsingle choice
Passage / Comprehension
A student buys one of sample papers x, y, z with probabilities 1/7, 1/3, 11/21. Conditional pass probabilities are 1/2, 1/3, 1/6, respectively.
Given the student fails, find the probability that paper was studied.
Options:
Answer:
C
Solution:
By Bayes, P(y|F)=[(1/3)(2/3)]/[(1/7)(1/2)+(1/3)(2/3)+(11/21)(5/6)]=7/23.
Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Total probability/Bay's Theorem
⏱ 2mℹ️ Source: QB
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