Geometric Distribution Calculator

Geometric distribution calculator calculates the probability of geometric distribution.

Formula for Geometric Distribution

The formula for geometric distribution is:
P(X = k) = (1 - p)^k-1p

while
p = probability of success.
k = number of trials.

Geometric Distribution Example

For example, to calculate the probability of getting the first tail appeared the fourth time during the coin flip.
Each coin has two sides, either a tail or a head, so getting the tail in a coin flip is 1/2 which is the probability of 0.5.
In this case, the number of trials is 4 because we looking for the tail in the 4th time of coin flip.

Now we can use the geometric distribution formula to calculate:

P = (1 - p)^k-1p
   =(1-0.5)^4-1x0.5
   =0.5³x 0.5
   =0.0625