Chapter 5/2 Probability (AS and A-Level) Flashcards
What is an Experiment?
A repeatable process that gives a rise to a number of outcomes
What is an Event?
A set of one or more of these incomes
What is a sample space?
The set of all possible outcomes
A ∩ B
A ∪ B
A’
A ∩ B’
If A and B are mutually exclusive then..
- P (A ∩ B) = 0
- P (A ∪ B) = P(A) + P(B)
Mutually Exclusive on a venn diagram
If A and B are independent then…
- P (A ∩ B) = P(A) x P(B)
- P(A|B) = P(A)
A ∩ B (ABC Venn Diagram)
A ∪ B (ABC Venn Diagram)
A ∩ B ∩ C (ABC Venn Diagram)
A ∩ C’ (ABC Venn Diagram)
A ∩ B ∩ C’ (ABC Venn Diagram)
(A ∪ B ∪ C)’ (ABC Venn Diagram)
A’ (ABC Venn Diagram)
A ∩ (B ∩ C)’ (ABC Venn Diagram)
A ∩ B’ ∩ C’ (ABC Venn Diagram)
A ∩ (B ∪ C)’ (ABC Venn Diagram)
Given that A|B Formula
P(B|A) = P(A ∩ B) / P(B)
What is the Additional Law P(A ∪ B)?
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)