Question

From a deck of 52 cards, two cards are being chosen without replacement. What will be the probability of first one being black and second one being red.

• A. $\frac{13}{51}$
• B. $\frac{1}{4}$
• C. $\frac{1}{2}$
• D. $\frac{19}{51}$

Answer 1

The correct option is A $\frac{13}{51}$

Probability of first card being black $=\frac{26}{52}=\frac{1}{2}$
Probability of second card being red $\frac{26}{51}$ (As in total number of cards one is already taken out, the total has become 51)
Probability of first card being black and second being red $=\left(\frac{1}{2}\right)\times \left(\frac{26}{51}\right)=\frac{13}{51}$