Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityTotal probability/Bay's TheoremMedium2 minPYQ_2015

MathematicsMediumsingle choice

A bag contains 3 red and 3 white balls. Two balls are drawn one by one. The probability that they are of different colours is.

Options:

Answer:

Solution:

Let $A \equiv$ event that drawn ball is red $B \equiv$ event that drawn ball is white Then $AB$ and $BA$ are two disjoint cases of the given event. $∴ P (A B + B A) = P (A B) + P (B A) = P (A) P (\frac{B}{A}) + P (B) P (\frac{A}{B})$ $= \frac{3}{6} \cdot \frac{3}{5} + \frac{3}{6} \cdot \frac{3}{5} = \frac{3}{5}$

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

⏱ 2mℹ️ Source: PYQ_2015

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