Question about roulette probability

In summary, the conversation discusses how to calculate the probability of winning in a roulette game by determining the number of spins it would take for a certain set of numbers to win. The formula for calculating such problems involves finding the probability of not getting a number in the set after each spin. It is important to clarify whether the game is played on a European or American wheel, as the probability calculations differ. The conversation also mentions the use of "tex" and "itex" syntax, which is a way to format mathematical equations.
  • #1
ninko
3
0
Can anybody help with this. How to calculate after how many spins the sector of 6 numbers will win, with probability of 0.99? What is the formula for calculating such problems?
 
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  • #2
welcome to pf!

hi ninko! welcome to pf! :smile:

with questions like this, it's usually easiest to calculate the opposite …

what is the probability that none of the first n results will be in the sector? :wink:
 
  • #3
Yes, maybe is easier to make that calc. but how? :)
Thanks anyway!
 
  • #4
You will have to specify whether you are talking about a "European" or "American" roulette wheel. The standard European wheel has 32 numbers, red and black, together with "0" that is typically green. The standard American wheel has 32 numbers plus "0" and "00". That is the probability of a single turn coming up a specific number on a European wheel is 1/33, on an American wheel, 1/34. If you select 6 numbers, the probability of NOT getting a number in that group on one spin is 27/33= 9/11 on a European wheel, 28/34= 14/17 on an American wheel.

The probability of n spins without getting a number in your set of 6 is [tex](9/11)^n[/itex] on a European wheel, [itex](14/17)^n[/itex] on an American wheel. You need to solve [itex](9/11)^n= 0.01[/itex] or [itex](14/17)^n= 0.01[/itex].
 
  • #5
Roulette wheel has 36 numbers plus zero. I`m talking about European wheel.
Sorry, but I`m not very familiar with mathematics... could you please clarify the sintax tex...itex...
Hope is not very stupid question:)
 

1. What is roulette probability?

Roulette probability is the likelihood or chance of a specific outcome occurring in a game of roulette. It is usually expressed as a percentage or a fraction and can help players determine their chances of winning or losing.

2. How is roulette probability calculated?

Roulette probability is calculated by dividing the number of possible outcomes leading to a specific result by the total number of possible outcomes. For example, in a game of roulette with 38 numbers (1-36, 0, 00), the probability of landing on a specific number is 1/38 or 2.63%.

3. What is the difference between European and American roulette probability?

The main difference between European and American roulette probability is the number of pockets on the wheel. European roulette has 37 pockets (1-36, 0), while American roulette has 38 pockets (1-36, 0, 00). This means that the probability of winning in European roulette is slightly higher than in American roulette.

4. Can roulette probability be used to predict future outcomes?

No, roulette probability cannot be used to predict future outcomes. Each spin of the roulette wheel is independent and has the same probability of landing on any number, regardless of previous outcomes. The probability of winning or losing remains the same for each spin.

5. Is there a way to increase my chances of winning in roulette using probability?

While understanding roulette probability can help players make more informed bets, it does not guarantee a win. The game is ultimately based on chance and luck. However, players can use strategies such as the Martingale system or the D'Alembert system to potentially increase their chances of winning, but these methods do not rely solely on probability.

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