Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityTotal probability/Bay's TheoremMedium2 minPYQ_2021

MathematicsMediumsingle choice

Girl students constitute $10%$ of I year and $5%$ of II year at Roorkee University. During summer holidays $70%$ of the I year and $30%$ of II year students are given a project. The girls take turns on duty in canteen. The chance that I year girl student is on duty in a randomly selected day is

Options:

Answer:

Solution:

The desired probability $= \frac{\frac{10}{100} \times \frac{70}{100}}{\frac{10}{100} \times \frac{70}{100} + \frac{5}{100} \times \frac{30}{100}} = \frac{14}{17}$

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

⏱ 2mℹ️ Source: PYQ_2021

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