Basic Six Sigma Probability terms like independence, mutually exclusive, compound events, and more are the necessary foundations for statistical analysis.

## Basic Six Sigma Probability Videos

## Additive law

Example: 2 cars, each with a 60% chance of starting. What are the chances that at least one of them starts?

P (A U B) = P(A) + P(B) – P(A Intersection B)

P = .6 + .6 – (.6*.6) = 1.2 – .36 = .84

## Mutually Exclusive Events

Mutually exclusive events are things cannot both be true.

## Compound Events

Events that are chained together in a row.

### Compounded Mutually Exclusive Events

For example, what is the probability of rolling one 6 sided die and getting either a 3 or a 4?

P (A or B) = P(A) + P(B)

P (3 or 4) = P(3) + P(4) = 1/6 + 1/6 = 1/3 = 33%

### Independent Events

For example, what is the probability of rolling one 6 sided die twice and getting a 3 on the first roll and a 4 on the second roll?

Since the roll of the second die can be anything – no matter what happens on the first roll – they are considered independent events.

P (A and B) = P(A) * P(B)

P (3 and 4) = P(3) * P(4) = 1/6 * 1/6 = 1/36 = 2.7%

## Additional Basic Six Sigma Probability Resources

http://mi.eng.cam.ac.uk/~rwp/Maths/vid09/l9notes.pdfhttps://www.mathgoodies.com/lessons/vol6/dependent_events

## Comments (4)

YOU WERE TO ROLL A SIGLE DIE 10 TIMES,WHAT WOULD THE RESULTS OF EACH ROLL WOULD

BE

A. MUTUALLY EXCLUSIVE OF THE OTHER NINE ROLLS

B. PROPORTIONAL TO THE OTHER NINE ROLLS

C. DEPENDENT UPON THE OTHER NINE ROLLS

D. INDEPENDENT OF THE OTHER NINE ROLLS.

Thank you for the question, Kelvin. I’ve addressed this in the member section. Best, Ted.

On the given example below how would changing the desired outcome would affect the event type?

Example: 2 cars, each with a 60% chance of starting. What are the chances that at least one of them starts?

A) what are the chances of both start at the first try?

A2) what are the chances of both to start?

B) if one care has 60% chance and the other 30% chance. What are the chances that at least one of them starts?

B2) what are the chances of both start at the first try?

B3) what are the chances of both start?

Very helpful videos guys, thank you for taking the time of sharing the knowledge!

Carlos,

Each of those questions you list is a specific type of probability (ie mutually exclusive, additive, compound, etc).

Start by identifying what kind of event is going on.

Next, look at how you’re supposed to treat each event and substitute the values in.

Write back and show me what you’ve tried.