Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityConditional probabilityMedium2 minQB

MathematicsMediumsingle choice

Two cards are selected at randomly from a pack of ordinary playing cards. If there found to be of different colours (Red \& Black), then conditional probability that both are face cards is

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Answer:

Solution:

Let $A \to$ they are face cards, $B \to$ they are of different colours $P (A / B) = \frac{P ( A \cap B )}{P ( B )} = \frac{^{12} C _{2} - 2 \times ^{6} C _{2}}{13 \times 26} = \frac{18}{169}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Conditional probability

⏱ 2mℹ️ Source: QB

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