Two cards are drawn one after the other, without replacement, from a pack of 52, and $X$ is the number of face cards (kings, queens and jacks) drawn. What is $P(X = 1)$?

Explanation

1. 01

   The pack has 12 face cards. Face card then not: $\frac{12}{52} \times \frac{40}{51}$; not then face card: $\frac{40}{52} \times \frac{12}{51}$.

2. 02

   Together: $2 \times \frac{12 \times 40}{52 \times 51} = \frac{80}{221}$.