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Geometric Distribution — Waiting Time for First Success

A bar graph shows numbers as bars. Taller bar = bigger number.

StatisticsCommon Core VAR-5.EPROBVerified correct ✓

Worked examples

The probability of success on each trial in a geometric setting is p = 1/5. What is the probability that the first success occurs on trial 3? (i.e., find P(X = 3).)
Answer: 0.128
The probability of success on each trial in a geometric setting is p = 2/5. What is the probability that the first success occurs on trial 1? (i.e., find P(X = 1).)
Answer: 0.4

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