In the game of Blackjack 2card hand consisting of an ace and

In the game of Blackjack 2-card hand consisting of an ace and a face card or a ten is called a blackjack. If a player is dealt 2 cards from 2 well-shuffled standard decks (104 cards in one pile), what is the probability that the player will receive a blackjack?

Solution

In the game of Blackjack 2-card hand consisting of an ace and a face card or a ten is called a blackjack. If a player is dealt 2 cards from 2 well-shuffled standard decks (104 cards in one pile), what is the probability that the player will receive a blackjack?

Chance of an ace in first card is 8/104. Chance of face card or 10 in 2nd card is 32/103 (only 103 since ace is now gone). Multiply answer by 2 since if order is reversed (face card then ace) this is also a black jack.


P= 8/104 * 32/103 * 2 = 0.0477968