Question

What is the probability of drawing a king and a queen consecutively from a deck of $52$ cards, without replacement.

• A. $\frac{4}{663}$
• B. $\frac{5}{663}$
• C. $\frac{7}{663}$
• D. none of these

Answer 1

The correct option is A $\frac{4}{663}$

The probability of drawing a King then a Queen in exactly that order is:

$P\left(E\right)=\frac{4}{52}\times \frac{4}{51}=\frac{1}{13}\times \frac{4}{51}=\frac{4}{663}$