A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits \(($\spadesuit$, $\heartsuit$, $\diamondsuit$\), and $\(\clubsuit$\)), such that there is exactly one card for any given rank and suit. Two of the suits (\($\spadesuit$ and $\clubsuit$)\) are black and the other two suits (\($\heartsuit$ and $\diamondsuit$\)) are red. The deck is randomly arranged. What is the probability that the top card is a face card (a Jack, Queen, or King)?
look closely at the problem
out of 13 cards, 3 will match your cases. So, the total is 13, and the acceptable cases are 3, so the answer is 3/13.