# What are the Odds of Getting a 10 Blackjack?

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- Published: 2023-11-07
- Author: Nelson Ayers
- Categories: [Business & Worth](https://33rdsquare.com/category/games/worth/)

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When you get dealt an ace and a ten-valued card in blackjack, it‘s called a "natural" or "blackjack" hand. This coveted starting hand pays out at lucrative 3:2 odds and gives you a big advantage right off the bat. But just how likely is it to be blessed with a 10 blackjack right out of the gate? In this detailed guide, I‘ll break down the nitty-gritty math behind blackjack probabilities to reveal the true odds. You‘ll also learn how to shift those odds in your favor with card counting and perfect basic strategy play. So shuffle up and deal – let‘s dive into the fascinating world of blackjack odds!

## The Basics – How Blackjack Hands Are Dealt

Before we get into the odds and probabilities, let‘s review some basics on how blackjack works for anyone new to the game:

- Blackjack is played with a standard 52-card deck or multiple shuffled decks, usually between 4-8.
- The goal is to make the best hand possible getting as close to 21 without going over (known as a bust).
- Numbered cards are worth their pip value. Face cards are worth 10 points. Aces can be worth 1 or 11.
- On the initial deal, the player is dealt two face-up cards. The dealer gets one card face-up and one face-down.
- If the player is dealt an ace and a ten-valued card (10, J, Q, K), this is called a natural or blackjack. It pays out 3:2 and beats all other hands except another blackjack.

Now that you know the essential gameplay, let‘s get into the odds and probabilities involved on that critical first deal.

## Odds of Getting a 10-Value Card

Out of 52 cards in a standard blackjack deck, 16 of them are worth 10 points – the four 10s, four Jacks, four Queens, and four Kings. That means the probability of being dealt a 10-valued card on the first of two cards is:

**16/52 = 30.8%**

Now, in a typical blackjack game you‘ll be playing with 4, 6, or even 8 decks shuffled together rather than just one. But the same math applies. Each 52 card deck contains 16 ten-valued cards. So for example in an 8 deck game, there would be 8 _16 = 128 ten-valued cards out of 8_ 52 = 416 total cards.

This 30.8% probability assumes a freshly shuffled shoe before any cards have been dealt. As cards are dealt from the shoe during gameplay, the probability shifts slightly until the remaining cards are reshuffled.

## Probability of Being Dealt an Ace

Aces are the other crucial component needed to make a blackjack hand. Each standard 52 card deck contains 4 aces. So what are the odds your second card is an ace, given you already have a 10-value card?

There are now 51 remaining cards left in the deck after dealing the first card. With 4 aces out of the 51, the probability comes out to:

**4/51 = 7.8%**

Again, this changes slightly based on decks, previously dealt cards, and casino reshuffling procedures. But 7-8% is a good baseline probability for that vital second card.

## Putting It Together: 10 Blackjack Probability

To find the odds of being blessed with a 10 blackjack, we simply combine the probabilities of a 10-value card and an ace together:

0.308 * 0.078 = **0.024 = 2.4%**

So your probability of getting dealt a "natural" 10 blackjack on the first two cards of a round is about 2.4%, or around 1 in 42 hands. Of course, this is assuming perfect randomization of the cards and a newly shuffled shoe.

Let‘s visualize these probabilities in a table for more clarity:

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tr:nth-child(even) {
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| Card Combination | Probability |
| --- | --- |
| 10-value card on first draw | 30.8% |
| Ace on second draw | 7.8% |
| 10 + Ace (blackjack) | 2.4% |

While a 10 blackjack is rare, it‘s hugely rewarding when it hits. Not only does it pay 3:2 immediately, it gives you an advantage right off the bat against the dealer!

## How Deck Size and Rules Affect the Odds

The number of decks used in blackjack along with specific rules like dealer hitting or standing on soft 17 can actually shift the odds and probabilities. Here‘s how:

- **Fewer decks** is better for the player. A single deck game boosts the chance of getting a 10 blackjack to nearly 3%. But most games these days use 6 or 8 decks to make card counting harder.
- **Dealer stands on soft 17** is better for the player. When the dealer has to stand on a soft total of 17, it boosts the player‘s odds since the dealer can‘t hit to improve.
- **Doubling after splits** increases player‘s odds in many situations by allowing more opportunities to double bets.
- **Double down restrictions** like only allowing doubling on 10 or 11 hurts the player and increases the house edge.

The best games from a player‘s perspective offer fewer decks, dealer standing on soft 17, doubling after splits, and liberal double down rules. Certain online blackjack games can even trim the house edge below .5% with optimal play.

## Improving Your Odds with Basic Strategy

While the odds of getting dealt a 10 blackjack are fixed, you can improve your overall chances of winning by using perfect basic strategy. Basic strategy provides mathematically optimal decisions for every possible hand against every dealer upcard. It tells you exactly when to hit, stand, double, split, or surrender based on maximizing your expected return.

Here‘s a basic strategy cheat sheet:

[Insert basic strategy chart image]

Memorizing this gives you the best possible moves for every scenario. Going by basic strategy doesn‘t alter the fixed probabilities over the long run. But it does significantly reduce the house edge compared to making random plays.

However, basic strategy is based on a fixed shoe where dealt cards don‘t affect future probabilities. In the next section, we‘ll discuss how card counters use the changing card composition to shift the odds in their favor!

## Card Counting – How to Shift the True Odds in Your Favor

Skilled blackjack players use card counting systems to keep track of the dealt cards and fluctuating probabilities over time. By maintaining a "running count" and converting to a "true count", players can calculate when the remaining deck is rich in aces and tens to bet more aggressively.

Let‘s explain how it works:

- Card counters assign a +/- value to each card. Tens, aces and face cards are a positive. Low cards are negative.
- As each card is dealt, the running count adjusts up or down based on the card‘s tag value.
- When the running count is positive, the deck is rich in high cards. When negative, more low cards remain.
- By dividing the running count by decks remaining, you get a "true count" – the true concentration of high cards!

Here is a sample true count scenario:

- Running count: +8
- Decks remaining: 2
- True count = RC/Decks = +8/2 = +4

A high true count like +4 is very favorable. More tens and aces remain versus low cards. The odds of blackjack are now higher, so the player would bet more aggressively.

Card counting combined with perfect play gives skilled players up to a 2% mathematical advantage over the casino – making blackjack one of the most beatable casino games!

While very effective, keep in mind that card counting is extremely difficult to master, requiring elite memory, mettle, bankroll, and acting skills. But for those who put in the work, it can literally turn the game profitable long-term.

## More Blackjack Probabilities and Odds

Now that you understand the basics, let‘s dive deeper into some other common blackjack probabilities:

### Odds of Dealer Busting

The dealer has to follow fixed rules and must hit up to 16. This leads to some predictable probabilities of the dealer going bust:

- Dealer upcard of 5 or 6 – Busts 34.4% of the time
- Dealer showing 9, 10 or Ace – Only busts 13.4%

This illustrates why basic strategy says to stand more often when the dealer is showing 9 or better – their odds of busting are much lower.

### Odds of Busting with Hard Totals

Do you hit or stand on that hard 15 versus the dealer‘s 10 when basic strategy says to hit? Here are the odds of busting for the player based on your total:

| Hard Hand Total | Odds of Busting |
| --- | --- |
| 16 | 62% |
| 15 | 42% |
| 14 | 31% |
| 13 | 23% |
| 12 | 16% |

The odds get progressively higher the lower your total. This shows why it‘s crazy to hit a hard 16 under basic strategy – you‘ll bust nearly 2/3 of the time!

### Odds of Winning Based on First Cards

Your first two cards have a big impact on your odds of winning that round. Check out these percentages:

- Hard 13-16 – Only 16% to 28% chance of winning
- Hard 17-20 – 32% to 41% chance
- Blackjack – 42% chance of winning!

No surprises here – blackjack gives you the best odds out of the gate. Terrible first cards put you in a deep hole from the start. Play smart and avoid bad games to give yourself a fighting chance.

### Side Bet and Bonus Payout Probabilities

Many blackjack games now offer side bets with extra payouts but longer odds, like:

- Lucky Ladies – Bet on getting specific 20s, up to 1000:1 odds! But house edge is huge at over 15%.
- Perfect Pairs – Around 25:1 payout if your first two cards are a pair. But 96%+ chance of losing the side bet.
- 21+3 – Combining first two cards with dealer upcard for certain poker hands. Pays 9:1 but rarely hits.

While tantalizing, these side bets are mathematically a losing play. Your betting strategy should focus solely on your main blackjack hand.

Hopefully going through these detailed probabilities gives you a deeper understanding of the many facets to blackjack mathematics. Let‘s now get into some real-world tips for gaining an extra edge at the tables.

## Expert Tips to Improve Your Odds at the Blackjack Tables

You now have a rock-solid grasp of blackjack probabilities – but does it actually help you win more money at the tables? Here are my top tips for giving yourself the best shot at blackjack glory:

- **Seek out player-friendly rules** – Small details like 3:2 blackjack payouts, dealer stand on soft 17, late surrender option, and double after splits can trim the house edge dramatically.
- **Play low deck count games** – Single deck blackjack lowers the house edge. But beware that casinos are getting wise to single deck card counters.
- **Practice proper bet spreads** – Card counters need to skillfully vary bets based on the true count. Make big bets only when the odds shift in your favor.
- **Manage your bankroll** – Have at least 100 betting units ready. End sessions promptly when running bad. Don‘t chase losses!
- **Memorize perfect basic strategy** – Every decision based on basic strategy chops away at the casino‘s built-in edge.
- **Use camouflage betting techniques** – Advanced strategies like Wonging in and out on positive counts helps avoid detection when card counting.
- **Act natural and be friendly** – Casinos frown on pros winning "too much". Stay under the radar by being discrete and not drawing attention.
- **Take breaks when running hot** – Lock in profits by coloring up and leaving the table during hot streaks. You can always return later.

Mastering blackjack gives one of the best odds to win steady money compared to other casino games. Even without card counting, just using perfect basic strategy shrinks the house edge dramatically. Add in covert card counting skills, proper bankroll management, and expert play, the odds can firmly shift in your favor. There‘s a reason the iconic movie _21_ focuses around a blackjack team – it‘s one of the few games beatable by pros.

So keep these odds and probabilities in mind next time you bell up to a blackjack table. Follow the tips above, play with discipline, have fun, and watch those hole cards! Who knows – you just may catch that lucrative 10 blackjack on the first deal. Good luck out there!

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