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Geometric Distribution Calculator


All you need to know about Geometric Distributions

Geometric Distribution Calculator

is the Geometric Probability formula.

used when the following conditions called "BITS" are fulfilled:
B = Binary (two) outcomes are possible, called Bernoulli trials, ex: Head or Tails, Make or Miss a Free Throw.
I = The events are Independent, ex: getting a head has no impact on the outcome of the next toss.
T = Number of Trials varies. ex: we toss a coin until first head or we take the first free throws
S = Success probability is constant, ex: P(Head) = 50% or P(make free throw) = 80% = .80

Advanced Information on the Geometric Distribution: Mean= Geometric Distribution Calculator Mean , Standard Deviation = Geometric Distribution Calculator Standard Deviation

Sample Geometric Distribution Problem

What is the probability of making the first free throw on the 3. attempt, make probability per free throw is 80% ?
Here, n=3 (the number of trials until 1. success), p=.8 (success probability)
Plugged into the Geometric Probability formula: P(X=2)= .8*(1-.8)(3-1) = .8*.22 = .8*.04 = .032 = 3.2%
Alternatively we can state: P(MISS, MISS then MAKE) = .2 *.2 *.8 .
Get it now? Try the above Geometric Distribution Calculator a few more times.

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