High School Probability
Overview
Venn diagrams can be used to help work out probabilities.The Venn diagram makes the situation easy to visualise. SETS AND. VENN DIAGRAMS ... It is far easier to talk about probability using the language of sets.
Venn Diagram Probability
Here we will learn about Venn diagram probability, including how to calculate a probability using a Venn diagram.
The sample space and events are represented by a Venn diagram and sample space is represented by a rectangle and the event is represented by a circle. Hence we can say Venn diagrams are used to represent probabilities, sample space of events is represented by a rectangle
PROBABILITY
What is probability notation?
Probability notation is an efficient way of writing the probability of events happening or not happening.
To do this we use set notation, which is used when working with Venn diagrams.
Events are usually notated using capital letters, as well as the use of some Greek letters.
Let’s look at some examples.
If you were to roll a fair six-sided dice and event A is rolling a six, a more efficient way of writing ‘what is the probability of rolling a 6 you could write P(A) or P (6).
If you were to roll a fair six-sided dice and event A is rolling a six, a more efficient way of writing ‘what is the probability of not rolling a 6, you could write P(A’).
This links to Venn diagrams. Below are two Venn diagrams which involve two sets and show event A and anything that is not event A.
[ refer https://thirdspacelearning.com/gcse-maths/probability/venn-diagram/ for more about Venn diagrams]
Union
P(A∪B) A union Bis the chance of picking any outcome that is satisfied by event A or event B or both.
In a Venn diagram it would be presented like this.
Intersection
P(A∩B) or A intersection B is the chance of picking any outcome that is satisfied by event A and event B, the joint probability of the events.
In a Venn diagram it would be presented like this.
Reference:
https://thirdspacelearning.com/gcse-maths/probability/probability-notation/