Odds Of Blackjack Hands

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Odds of winning consecutive blackjack hands
  1. Odds Of Losing 4 Blackjack Hands In A Row
  2. Odds Of Losing 8 Straight Blackjack Hands
  3. Odds Of Losing 8 Blackjack Hands In A Row
  4. Odds Of Losing 10 Blackjack Hands In A Row

Odds Of Losing 4 Blackjack Hands In A Row

Was playing a 6D game, PA rules, with 3 players/spots at table, and won 13 hands in a row at the back end of a shoe. The streak started in a neg count but the count was increasing and went above the pivot point for 4-5 hands and was able to get some decent money out there (not to max bet though). The count fell to negative again so I dropped back to table min. but kept winning. I had nice take on the run (+58 units) but I feel like the odds of winning 13 hands in a row must be astronomical, especially when it's bookend'd by negative counts on both sides. How do you calculate the odds, if possible? PS: I was not a math major
Back in my 'negative expectation days' (AKA-the Darkside) of using BS with a positive betting progression this streak would have made a killing:grin: (but of course I would have given it back rather quickly at that time as well).
Thank you in advance and, may the force of +var be with you.

Odds Of Losing 8 Straight Blackjack Hands

Odds of poker hands
  • Single deck blackjack has the lowest casino edge of 0.16%, which gives the player better odds. Double deck games have a considerably low edge at 0.46%. Most land-based resorts and reputable online casinos use six to eight decks for blackjack.
  • That would make the odds of losing 10 hands in a row without ignoring draws about 0.08127% or 1 in 1,230. If you want to ignore draws the odds become. That would make the odds of losing 10 hands in a row ignoring draws about 0.197% 1 in 507.
  • What is the probability of losing the next six hands at blackjack, using basic strategy? Since each hand has a 48.0% chance of being a loss, the answer is 0.48 ^ 6 = 0.012 = 1.2%. But wait a minute That still wasn’t the right question!
Hands

Odds Of Losing 8 Blackjack Hands In A Row

Row

Odds Of Losing 10 Blackjack Hands In A Row

But I'm not quite sure how to calculate the math behind this and how to calculate the probability for winning a single blackjack hand. I figured with 10,000 credits, I can start my bet at 1, then go to 2, then 4, etc (doubling my bet everytime I lose). This allows me to lose up to 12 hands before I am bankrupt. The odds of hitting a particular card other than a 10-value card are 7.7%, and 31% for 10-value cards. As a player you can expect to hit a Blackjack once every 21 hands on average. When the dealer is showing an Ace upcard, there is a 31% chance that the dealer has Blackjack. You can expect to win at least 48% of the hands you play.