# Geometric distribution

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##### Intros

##### Examples

###### Lessons

**Determining the Geometric Distribution**

Identify which of the following experiments below are geometric distributions?

i. Flip a coin until it comes up heads. What is the probability that this will take 5 flips?

ii. Flip a coin 5 times. What is the probability that you will get 1 head?

iii. An urn contains 7 red balls and 5 white balls. Balls are drawn out of the urn without replacement until a white ball is drawn, what is the probability that the first white ball will be drawn after the 3rd draw?

iv. There is a certain floober machine that produces knick-knacks. This machine produces a defective knick-knack with probability 0.1. What is the probability that this machine will produce its first defective knick-knack on the 8th knick knack it produces?- There is a certain floober machine that produces knick-knacks. This machine produces a defective knick-knack with probability 0.1. What is the probability that this machine will produce its first defective knick-knack on the 8th knick knack it produces?
- In the game Dungeons and Dragons a fair 20 sided die (icosahedra) is used. A "critical hit" is when a 20 is rolled.
**Geometric Calculator**

Balls are drawn with replacement from an urn containing 9 black balls, and 1 golden ball.- Using your calculator what is the probability that the golden ball is drawn on the 1st draw?
- Using your calculator what is the probability that the golden ball is drawn on the 2nd draw?
- Using your calculator what is the probability that the golden ball is drawn on the 3rd draw?
- Using your calculator what is the probability that the golden ball is first drawn on one of the first 5 draws?