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.

Find the probability the student passes.

Answer:

Solution:

Total probability gives $(1/7) (1/2) + (1/3) (1/3) + (11/21) (1/6) = 17/63$ .

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Total probability/Bay's Theorem

⏱ 2mℹ️ Source: QB

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