# What is the probability of being dealt a blackjack when using a standard deck of 52 cards?

## What is the probability of being dealt a blackjack when using a standard deck of 52 cards?

We calculate first all combinations of 52 elements taken 2 at a time: C(52, 2) = (52 * 51) / 2 = 1326. We combine now each of the 4 Aces with each of the 16 ten-valued cards: 4 * 16 = 64. The probability to get a blackjack (natural): 64 / 1326 = . 0483 = 4.83%.

What is the probability of being dealt a blackjack?

Sixteen out of the 51 cards left in the pack are worth ten, so the branch to the F in the top right has a probability of 16/51 – one way of getting a blackjack has a probability of (4/52) x (16/51) = (64/2652), which cancels down to 16/663.

### What is the probability of selecting out a black jack from a deck of cards?

1 / 26

How many black jacks are in a deck of 52 cards?

two black jacks

#### How many red face cards are in a deck of 52 cards?

26 red cards

Sixteen out of the 51 cards left in the pack are worth ten, so the branch to the F in the top right has a probability of 16/51 – one way of getting a blackjack has a probability of (4/52) x (16/51) = (64/2652), which cancels down to Aug 2009