Still Confused?

Try reviewing these fundamentals first.

- Home
- Higher 2 Maths
- Discrete Probabilities

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Intro Lesson10:51
- Lesson: 19:17
- Lesson: 24:35
- Lesson: 3a2:47
- Lesson: 3b7:29
- Lesson: 4a3:40
- Lesson: 4b2:36
- Lesson: 4c5:39
- Lesson: 4d5:35

• $P(n)=(1-p)^{n-1}p$

$n$: number of trials until the first success

$p$: probability of success in each trial

$P(n)$: probability of getting your first success in the $n^{th}$ trial

$n$: number of trials until the first success

$p$: probability of success in each trial

$P(n)$: probability of getting your first success in the $n^{th}$ trial

- Introduction

• What is Geometric Distribution?

• Geometric Formula

• Geometric Calculator Commands - 1.
**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? - 2.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?
- 3.In the game Dungeons and Dragons a fair 20 sided die (icosahedra) is used. A “critical hit” is when a 20 is rolled.a)What is the probability that a critical hit is thrown on the first roll?b)What is the probability that it takes less than 3 rolls to roll your first critical hit?
- 4.
**Geometric Calculator**

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

21.

Discrete Probabilities

21.1

Probability distribution - histogram, mean, variance & standard deviation

21.2

Binomial distribution

21.3

Mean and standard deviation of binomial distribution

21.4

Poisson distribution

21.5

Geometric distribution

21.6

Negative binomial distribution

21.7

Hypergeometric distribution

21.8

Properties of expectation

We have over 700 practice questions in Higher 2 Maths for you to master.

Get Started Now