In the game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack.
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? If a player is dealt 2 cards from 4 well-shuffled standard decks, what is the probability that the player will receive a blackjack?

A) 0.0118, 0.0119
B) 0.0483, 0.0476
C) 0.0118, 0.0476
D) 0.0483, 0.0030
E) 0.0119, 0.0030

Question

In the game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack. ​
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? If a player is dealt 2 cards from 4 well-shuffled standard decks, what is the probability that the player will receive a blackjack?
​
A) 0.0118, 0.0119
B) 0.0483, 0.0476
C) 0.0118, 0.0476
D) 0.0483, 0.0030
E) 0.0119, 0.0030

Quizplus · Accepted Answer

To get a blackjack in one standard deck of cards, there are 4 aces and 16 face cards or 10s, so the probability of getting a blackjack is (4*16)/(52*51/2) = 32/1326 ≈ 0.024.

To get a blackjack in four standard decks of cards, there are 16 aces and 64 face cards or 10s, so the probability of getting a blackjack is (16*64)/(208*207/2) ≈ 0.0483.

Therefore, the best choice is B.

In the Game of Blackjack, a 2-Card Hand Consisting of an Ace