So, there are 13 spades in a regular deck of cards. That tells us that there are 13 ways to pick a spade out of the total 52 ways to pick a card. If you pick a spade and you do not replace it, your sample space decreases for the second pick to 51 cards while you can only pick 12 spades for that pick (you already took a spade out). Based on the multiplication rule, that tells us that the probability of A and B occuring, given that they are mutually exclusive is P(A)*P(B), and givent aht picking two cards are mutually exclusive (one does not depend on the other), we can deduce that the probability of the given scenario occuring is:
[tex] \frac{13}{52}*\frac{12}{51}=\\\frac{1}{4}*\frac{12}{51}=\\\frac{12}{204}=\\\frac{1}{17} [/tex]
