Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityTotal probability/Bay's TheoremMedium2 minPYQ_2013

MathematicsMediumsingle choice

The probability of India winning a test match against West Indies is $1/2$ . Assuming independence from match to match, the probability that in a 5 match series India's second win occurs at the third test, is -

Options:

Answer:

Solution:

The sample space is [LWW, WLW] $∴ P (LWW) + P (WLW)$ = Probability that in 5 match series, it is India's second win $= P (L) P (W) P (W) + P (W) P (L) P (W) = \frac{1}{8} + \frac{1}{8} = \frac{2}{8} = \frac{1}{4}$

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

⏱ 2mℹ️ Source: PYQ_2013

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