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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Objective: Compute the probability of winning in several blackjack situations. Observe the difference between the theoretical probability andÂ ...Probability of obtaining a natural blackjack is P = 8/663 = 1.20663% in the case of a 1-deck game and P = 16/1339 = 1.19492% in the case of a 2-deck game.. Probability of obtaining a good initial hand is P = 183/663 = 27.60180% in the case of a 1-deck game and P = 371/1339 = 27.70724% in the case of a 2-deck game.

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## Math blackjack probability

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

A single deck 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 when 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 shorting 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 math blackjack probability 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 players can have any of the four Aces, and for each one, any of the other 6 players can have any of the three remaining Check this out but you are counting each hand where, for example, Player A has the Ace of Spades and Player B has the Ace of Hearts twice.

Similarly with the Click of Hearts, Clubs, and Diamonds.

Here are the 35 ways that 7 hands can math blackjack probability 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.

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explore the interesting mathematical properties of the game. Despite the. The entry in row i and column j of the transition matrix is the probability of moving from.I've found blackjack to be the single most amazing math education tool.. the game, not even realizing they're learning math and probability.

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