Question

Discuss the probability of getting a blackjack in the card game 21.

Answer 1

first let's take all possible combinations of 52 cards :

There are 52 cards in one deck of cards.

There are 4 Ace cards and 16 face and 10 cards.

The blackjack can occur only in the first 2 cards.

We calculate first all combinations of 52 elements taken 2 at a time :

52C2 = (52 * 51) / 2 = 1326.

We now combine each of the 4 Aces with each of the 16 ten-valued cards :

4 * 16 = 64.

The probability to get a blackjack

= 64 / 1326

= 0.0483

= 4.83%

ANSWER : P(blackjack) = 4.83% or 0.0483

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