The probabilities of getting certain card combinations in blackjack depend on the number of decks in play and the specific cards remaining in the deck. For instance, the probability of being dealt a blackjack (an Ace and a 10-value card) from a single deck is roughly 4.8%. Other common combinations, such as a pair or two high cards, have varying probabilities influenced by the deck composition and player decisions. As cards are drawn, these probabilities change, affecting the likelihood of drawing specific hands.