Wrong. Cards are not random. But picking one card out of the deck, you drastically reduce your chances of drawing that card again (in fact, all the way down to 0%). If you have the Ace of Diamonds, you know for a fact, that the other guy doesn't have it. Counting Cards is a thing. Because cards are not random.
Dice, are dice. You roll a 1 once, you can roll it again, and again, again. Three times in a row. You can't 'count dice'.