# Probability of drawing a blackjack

What is the probability that the dealer will draw a blackjack? Update: At the outset of the game, 2 cards of a 52-card bridge deck are dealt to the player and 2 cards to the dealer. Drawing an ace and a face card is called blackjack.

Probability of drawing certain cards in Blackjack ... Probability of drawing certain cards in Blackjack. If Blackjack is discovered all players (except those with Blackjack also) will lose immediately and the next round is dealt - this speeds up the game and thus speeds up casino profits. If the dealer does not peek for Blackjack this calculation is easy: Blackjack - Probability - Wizard of Odds Probability of Blackjack. If the probability of a blackjack is p then the probability of not getting any blackjacks in 10 hands is 1-(1-p) 10. For example in a six deck game the answer would be 1- 0.952511 10 = 0.385251. What are the odds of getting 3 blackjacks in a row with 1 deck 4 players and one dealer. Blackjack Odds & Probability - Explanation and Calculations

## How to Solve Basic Probability Problems Involving a Deck of ...

The probability of NOT drawing a spade from a standard deck of cards is 75 is an example of a mistated question - a standard deck of cards is 52, not 75. Elizabeth Page-Gould's Web Site | Joint Probability Tree

### Blackjack: Finding Expected Values of Games of Chance with ...

statistics - Blackjack Probability - Mathematics Stack 4 Answers. Since there are four aces and 16 cards 10-K, the raw probability of a hand being blackjack is: Pblackjack=4×16 (52 2). The probability of both getting blackjack is just the probability of the player getting blackjack and the subsequent probability of the dealer also getting blackjack: Pboth=Pblackjack×3×15... Math Forum - Ask Dr. Math

## An Introduction to Probability. Your probability of getting a 10 is now 16/27. Your probability of getting an ace and then a 10 is 1/7 X 16/27, or 16/189. Again, you could get a blackjack by getting an ace and a ten or by getting a ten and then an ace, so you add the two probabilities together.

Blackjack - Wikipedia Since blackjack occurs in approximately 4.8% of hands, the 1:1 game increases the house edge by 2.3%, while the 6:5 game adds 1.4% to the house edge. Video blackjack machines generally pay 1:1 payout for a … Blackjack - Probability - Wizard of Odds