SOLUTION: In a game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack. (Round your answers to four decimal places.) (a) If a player is dealt 2 c

Algebra ->  Probability-and-statistics -> SOLUTION: In a game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack. (Round your answers to four decimal places.) (a) If a player is dealt 2 c      Log On


   



Question 1071120: In a game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack. (Round your answers to four decimal places.)
(a) If a player is dealt 2 cards from a standard deck of 52 well-shuffled cards, what is the probability that the player will receive a blackjack?


(b) If a player is dealt 2 cards from 2 well shuffled standard decks, what is the probability that the player will receive a blackjack?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 aces in the deck, there are 12 face cards in the deck.
Assume the first card is an ace,
P=%284%2F52%29%2812%2F51%29=48%2F2652
Assuming the first card is a face card,
P=%2812%2F52%29%284%2F51%29=48%2F2652
So then,
P%5BBlackjack%5D=%2848%2B48%29%2F2652=96%2F2652=8%2F221
.
.
.
Two decks,
There are 8 aces in the deck, there are 24 face cards in the deck.
Assume the first card is an ace,
P=%288%2F104%29%2824%2F103%29=24%2F1339
Assuming the first card is a face card,
P=%2824%2F104%29%284%2F103%29=24%2F1339
So then,
P%5BBlackjack%5D=%2824%2B24%29%2F1339=48%2F1339