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I have personally come up with a surefire method for winning in the game of "Big and Small" at a casino. Please note that this strategy is only suitable for casino games and not for gaming machines, as the programming of gaming machines may not adhere to probability theory.
In "Big and Small," the dealer rolls three dice, and players guess either the number or whether it will be big or small. In this explanation, we'll focus on guessing big or small, with numbers excluded. The possible outcomes range from 3 to 18, and for simplicity, numbers 10 and above are considered "big," while numbers below 10 are considered "small." (This explanation excludes betting on specific numbers.)
On the surface, there's roughly a 50% chance of guessing correctly, with a 1:1 payout. However, it's not exactly 50% due to the possibility of rolling "triples," which means all three dice show the same number. In this case, neither "big" nor "small" bets win; only bets on specific numbers or "triples" would count. The probability of rolling "triples" is very low, approximately (1/6)^3 × 6 = 2.78%.
Generally, "Big and Small" is considered a game for casual players at a casino, not a serious money-making game like blackjack or poker. However, the casino does make some profit from it.
Firstly, the chances of winning with "big" or "small" bets are both slightly less than 50%. Betting on the total number or "triples" has even lower odds. So, as a dealer, the casino is almost guaranteed to make a small profit.
Secondly, some players, after winning a small amount, may decide to double down and bet all their winnings on "big" or "small" in hopes of doubling their money. However, in my observation, this often leads to losses, as luck doesn't tend to favor those who chase larger winnings.
So, how can you ensure a profit?
First, you need sufficient capital. Second, stick to either "big" or "small" and double your bet with each round.
Here's an example: Let's say you start with a bet of $100 on "big" and lose the first round, resulting in a $100 loss.
In the second round, you bet $200 on "big." If you win, you'll have $400, including the $100 loss from the first round, resulting in a net profit of $100. If you lose, you'll have a total loss of $300.
Keep doubling your bet in subsequent rounds until you guess correctly. As soon as you win a round, you'll earn a $100 profit, regardless of previous losses. |
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