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klick wrote:
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How to calculate the probability of guessing all 3 numbers (out of 3) in 3 roulette spins?
How to calculate the probability of guessing 2 numbers (out of 3) in 3 roulette spins?
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klick wrote:
I'm slowing down further!
How to calculate the probability of guessing 2 numbers (out of 3) in 3 roulette spins?
To calculate the probability of winning, we will need not probability theory, but rather combinatorics.
So, a little math.
A combination is a selection of k elements from n given data without regard to order (e.g. selecting all at once or even sequentially if the order is deemed unimportant as a result of the selection).
The number of combinations is calculated using the formula:
Factorial ( n! ) is a number that is equal to n*(n-1)*(n-2)*(n-3)..*1
For example, 5!=5*4*3*2*1=120.
That is, the total number of all possible combinations is calculated using the formula:
(x) numbers from (n) = (n * (n - 1) * (n - 2) * (n - 3) … * [n - (x -1)] ) / x!
For example, for the Gosloto 5 out of 36 lottery, the total number of combinations is calculated as follows:
5 out of 36 = 36 * 35 * 34 * 33 * 32 / 1 * 2 * 3 * 4 * 5 = 376,992.
Thus, the chance of winning for Gosloto, or any other lottery in which you need to guess 5 numbers out of 36, is 1 in 376'992.
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