Question

In the game of blackjack, a 2-card hand consisting of an ace and either a face card or a 10 is called a "blackjack." If a standard 52-card deck is used, determine how many blackjack hands can be dealt. (A "face card" is a jack, queen, or king.)

Answer 1

There are 64 possible blackjack hands that can be dealt from a standard deck of 52 cards, as each of the 4 aces can be paired with any of the 16 possible second cards (face cards or a ten).

Step-by-step explanation:

To determine the number of blackjack hands that can be dealt from a standard deck of 52 cards, we identify the components needed for a blackjack. A blackjack hand consists of an ace and either a face card or a 10. There are 4 aces in the deck, and for the second card, there are 4 tens plus the 12 face cards (4 Jacks, 4 Queens, 4 Kings), making a total of 16 possible second cards.

The number of possible blackjack hands is the product of these two possibilities since each ace can be paired with any of the second cards. Therefore, we have 4 aces × 16 second cards, which equals 64 possible blackjack hands.

Let's go through the calculation:

• Number of aces: 4
• Number of tens and face cards: 4 (tens) + 4 (Jacks) + 4 (Queens) + 4 (Kings) = 16
• Total blackjack hands: 4 (aces) × 16 (tens and face cards) = 64

Answer 2

In a standard 52 - card deck are:
- 4 aces,
- 16 face cards or tens ( 4 * 3 + 4 = 16 ).
There should be:
4 * 16 = 64
Answer:
64 blackjack hands.