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Geometric distribution - Discrete Probabilities

Geometric distribution

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Notes:
P(n)=(1p)n1pP(n)=(1-p)^{n-1}p
nn: number of trials until the first success
pp: probability of success in each trial
P(n)P(n): probability of getting your first success in the nthn^{th} trial
  • 4.
    In the game Dungeons and Dragons a fair 20 sided die (icosahedra) is used. A “critical hit” is when a 20 is rolled.
  • 5.
    Geometric Calculator
    Balls are drawn with replacement from an urn containing 9 black balls, and 1 golden ball.
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Geometric distribution

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