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Two Cards Are Drawn from a Well Shuffled Pack of 52 Cards, One After Another Without Replacement. Find the Probability that One of These is Red Card and the Other a Black Card? - Mathematics

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प्रश्न

Two cards are drawn from a well shuffled pack of 52 cards, one after another without replacement. Find the probability that one of these is red card and the other a black card?

 

उत्तर

\[P\left( \text{ one red and one black } \right) = P\left(\text{  first red and second black } \right) + P\left( \text{ first black and second red }  \right)\]
\[ = \frac{26}{52} \times \frac{26}{51} + \frac{26}{52} \times \frac{26}{51} \left[ \text{ Without replacement }  \right]\]
\[ = \frac{13}{51} + \frac{13}{51}\]
\[ = \frac{26}{51}\]

 

 

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Probability Examples and Solutions
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पाठ 31: Probability - Exercise 31.5 [पृष्ठ ६९]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 31 Probability
Exercise 31.5 | Q 11 | पृष्ठ ६९

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