From my experience, the easiest way to work out probabilities in roulette is to look at the fraction of numbers for your desired probability, then convert to a percentage or ratio from there. On the other hand, if you hadn't spun the wheel to see the first red result and wanted to know the probability of seeing red over the next 2 spins and not just on the next 1 spinthe probability would be The event occurs 1 time out of X amount of trials.
Each and every result is independent of the last, so don't expect the results of future spins to be affected by the results you've seen over previous spins. These define a Binomial experiment, or binomially distributed random variable.
Probabilities over multiple spins. Any system can be analyzed like this for any game. But what do they mean? All you have to do is count the numbers that will result in a loss. This is a well presented maths explanation of the odds against the player when betting at roulette.
We know that the probability of an event happening is the chances of that event compared to all the possible events. This tells you the percentage of the time an event occurs.
To find out the effect the odds have on a measurable outcome, we can apply that outcome to all possible results. Two major factors determine how much you win or lose playing roulette. This mimics the outcome of a single session. First, all the mathematics used here is based on a European single 0 wheel since the house edge is half the American version.
The probability would be exactly How to work out roulette probabilities. If anything, the 'law of unequal distribution' will be on your side. You will eventually realize that it makes no difference.