What is the probability of doubling your bank in blackjack if you bet half your bank on every hand?
2006-08-24 00:39:24 · 5 answers · asked by zoomraker 1 in Science & Mathematics ➔ Mathematics
Answer = roughly 24.8% ...
There are a lot of factors we need to identify first before we can develop an equation. First, we need to find out what the house advantage is. Second, we will need to apply this advantage towards Basic Blackjack Strategy ...
IF the casino is playing with a standard 6 deck of cards, stands on soft 17, and the usual etc etc THEN the house advantage is .403115%. Therefore our odds of winning playing proper basic Blackjack is 49.7984425 which we will round to 49.7985%.
Suppose we start with $1000 and want to double that to $2000. We wager $500 (half our bank) therefore we are needing to win two times in a row. The equation is ...
.497985^2 = .247999, or 24.8% which is your answer. So about 1 every 4 times you will be able to double your bankroll if betting half your bankroll. Your odds of doubling your bankroll betting ALL your bankroll is just slightly under 1 every 2 times.
- Note1: that you have better odds trying to double your bankroll betting all your bankroll instead of betting half because every bet placed at the casino will multiply its house advantage against you.
- Note2: the house advantage is decreased by the number of decks they are using. And the house advantage is increased as much as 7% if you do not play using a basic blackjack betting strategy.
=== I did the best i could to find your answer, it should range between 24.6% and 24.8% depending on # of decks, the betting strategy, rule variations, atmospheric conditions (lol not really), etc but I hope this helps ===
2006-08-24 01:11:51 · answer #1 · answered by Ertai2 4 · 0⤊ 0⤋
The probability is a half.
2006-08-24 07:57:42 · answer #2 · answered by nwenkiteh a 1 · 0⤊ 0⤋
This depends on the house rules.
2006-08-24 07:53:15 · answer #3 · answered by Graham I 6 · 0⤊ 0⤋
I disagree with gambliong ad gambiling is not something i go along with
2006-08-24 07:44:57 · answer #4 · answered by Anonymous · 0⤊ 1⤋
a million to one.
2006-08-24 07:44:39 · answer #5 · answered by couchP56 6 · 0⤊ 2⤋