This document discusses a probability case study presented by Dr. V. M. Tidake. The case study asks what is the probability of drawing a red queen from a standard 52-card deck given that the card drawn is a face card (jack, queen, or king). The document calculates this probability as 1/6 by defining the events, determining the probabilities of each event, and using the formula for conditional probability. It was presented to help students understand case 4 on probability.

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Unit No.5.
PROBABILITY
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean, EDP & Associate Professor MBA
1
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in

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302-DECISION SCIENCE
Unit No.5. Probability
5.7 Case 4: Probability
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean EDP & Associate Professor MBA
2
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in

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NETWORK ANALYSIS
 At the End of the Session Student will be able to
understand-
A. Case 4: Probability

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Probability
A card is drawn from a pack of cards. What is the
chance of drawing a red queen given that the
card drawn was a face card?

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Probability
Let A- Event of drawing a red queen (Heart or
Diamond)
B- Event of drawing a Face Card (King, Queen or Jack)
𝑷 𝑨 = 𝒑 =
𝒎
𝒏
=
𝟐
𝟓𝟐
𝑷 𝑩 = 𝒑 =
𝒎
𝒏
=
𝟏𝟐
𝟓𝟐
Now, we have to find the probability that the card is
red queen given that it is a face card i.e. P(A/B)
Now, P(AՈB) = P(B) * P(A/B)
P(A/B) =
𝑷(𝑨Ո𝑩)
𝑷(𝑩)
=
𝟐/𝟓𝟐
𝟏𝟐/𝟓𝟐
=
𝟐
𝟏𝟐
=
𝟏
𝟔

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EXERCISE
 Solve the Case 4 on Probability.

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For More Details Contact
Dr. V M Tidake
tidkevishal@gmail.com
tidkevishalmba@sanjivani.org.in