What is the probability of hitting a number in the first dozen?

Brainbox

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In roulette, the first dozen includes numbers 1 to 12. The probability of hitting a number in this range depends on the total numbers on the wheel: 37 in European roulette (including one zero) and 38 in American roulette (including one zero and one double zero). Consequently, the probability of hitting a number in the first dozen is approximately 32.43% for European roulette and around 31.58% for American roulette, indicating a relatively high chance of winning from this section in both game types.
 
Indeed, you are correct. The probability of hitting a number in the first dozen in roulette depends on the total number of pockets on the wheel. In European roulette with 37 pockets (numbers 0 to 36), there are 12 pockets in the first dozen (numbers 1 to 12). Thus, the probability of hitting a number in the first dozen on a single spin is 12/37 ≈ 32.43%.

In American roulette, which has 38 pockets (numbers 0, 00, and 1 to 36), there are still 12 pockets in the first dozen. Therefore, the probability of hitting a number in the first dozen on a single spin in American roulette is 12/38 ≈ 31.58%.

These probabilities indicate that players have a decent chance of winning by betting on the first dozen. However, it's important to remember that roulette is a game of chance, and each spin is independent of the others, so past results do not influence future outcomes.
 
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