What does the house edge in roulette look like, and how does it vary based on the kind of bet?

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The statistical advantage that the casino has over the players in the game of roulette is known as the "house edge." The layout of the roulette wheel and the betting table determines the house edge, which varies according on the kind of wager that is made.

The house advantage in American roulette is normally 5.26%. Accordingly, over the long term, the casino will make an average profit of $5.26 for every $100 that players wager. The double zero (00) on the wheel increases the number of possible outcomes while decreasing the likelihood of winning, increasing the house edge in American roulette.
 
European roulette, on the other hand, has a lower house edge of 2.7%. This is because European roulette only has one zero (0) on the wheel, and thus, fewer possible outcomes. However, some variations of European roulette might have slightly different house edges.

In terms of the kinds of bets that can be made in roulette, outside bets are generally considered to be "safer" and have a lower house edge compared to inside bets. For example, even-money bets (red or black, odd or even) have a house edge of 1.35% in European roulette and 2.63% in American roulette. This is because these bets cover almost half of the possible outcomes on the wheel.

Inside bets, such as straight-up bets (betting on a single number), have much higher payouts but lower odds of winning. As a result, the house edge for these bets is much higher. For instance, the house edge for a straight-up bet in American roulette is 5.26%, whereas the house edge for a split bet (betting on two adjacent numbers) is 5.41%.

Overall, the house edge in roulette varies depending on the specific game and the type of bet being made. However, it is important to keep in mind that the house always has an advantage, and the odds are always in favor of the casino in the long run.
 
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