Two cards are drawn at random and one-by-one without replacement from a well-shuffled pack of 52 playing cards. Find the probability that one card is red and the other is black.

 

 

Answers (1)

The required probability = 

\frac{{ }^{26} \mathrm{C}_{1} \times{ }^{26} \mathrm{C}_{1}}{{ }^{52} \mathrm{C}_{2}}=\frac{26 \times 26}{\frac{52 \times 51}{2}{}}= \frac{26}{51}

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