WOLFRAM|DEMONSTRATIONS PROJECT

Geometric Distribution

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horizontal range
20
probability p of head on each toss
0.5
If a coin that comes up heads with probability
p
is tossed repeatedly, the toss on which the first head is observed follows a geometric probability distribution. Drag the sliders and watch how the distribution changes. The mean of the distribution—the toss number on which one "expects" to observe the first head—is marked with a red circle on the horizontal axis.