Math
Geometric distribution.
Definition
A probability distribution that models the number of trials needed to get the first success in a sequence of independent Bernoulli trials, each with the same probability of success p.
Examples
Real-world.
- 1 Number of coin flips until you get the first heads
- 2 Number of free throws until a player makes one (if success rate is 70%)
- 3 Number of customers a salesperson calls before making the first sale
Key Fact
P(X = k) = (1 − p)^(k−1) · p, where k is the trial number of the first success