probability

1 Q: Given 3 decks of cards, A to K. Randomly pick 1 card from each deck. What is the probability that the 3 cards are in increasing order? A $$ \mathbb{P}(\text{3 different cards} \cap \text{3 increasing values}) = \mathbb{P}(\text{3 different cards}) \times \mathbb{P}(\text{3 increasing values} | \text{3 different cards}) $$ First, make sure the three cards are different, \(\mathbb{P}(\text{3 different cards})\) is \( 1 * \frac{48}{52} * \frac{44}{52} \).