The probability of a blackjack in a single deck game is 4*16/combin(52,2) = 64/1326. So the probability of four in a row is (64/1326)4 = 16777216/ 3091534492176 = 1 in 184270. However the actual probability is much less, because as the player gets each blackjack the ratio of aces to cards left in the deck decreases.

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## Understanding The Math Behind Blackjack Strategy Math blackjack probability

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## Math blackjack probability

There is a video blackjack machine that offers a bonus for having 4 blackjacks at the same time dealer blackjack excluded.What are the chances of getting 4 blackjacks?

A single math blackjack probability is used.

We get to play on 7 hands per game.

Hi dlarcher10, welcome to the forums.

I'd encourage you to "sound this out" and try to solve it yourself, even though I'm providing the info below.

Problems like this sound really complicated, but really aren't when you "sound it out" and take the probably one piece at a time.

In statistics when you need multiple events to happen frequently when you use the word "AND" the resulting probability is multiplicative.

When any one of multiple events could happen frequently math blackjack probability you use the word "OR" the resulting probability is additive.

I'd expect the payout to be a million bucks, and then they'd still be math blackjack probability you.

So more than likely a terrible bet.

Simulation seems to confirm this calculation.

I think he missed the part where it said they could play up to 7 hands.

Thank you for your answers Quote: dlarcher10.

Did you take into account that any of the 7 hands can make 4 blackjacks?

No, I simply 4 hands in a row getting blackjack, without replacement.

Thank you for your answers You are counting every deal 24 times.

You appear to be saying, "Any of the 7 learn more here can have any of the four Aces, and for each one, any of the other 6 players can have any of the three remaining Aces," but you are counting each hand where, for example, Player A has the Math blackjack probability of Spades and Player B has the Ace of Hearts twice.

Similarly with the Aces of Hearts, Math blackjack probability, and Diamonds.

Here are the 35 ways that 7 hands can be 4 Blackjacks and 3 non-blackjack hands.

So many better men, a few of them friends, were dead.

And a thousand thousand slimy things lived on, and so did I.

The Blackjack Strategy Guide

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