Probability Flashcards
What does E mean usually?
Experiment
What is the outcome?
One of the possible results of a single trail of the experiment
What does S usually mean?
Sample space, the set of all possible outcomes
What is the event and how is it represented?
An event is one or more outcomes of an experiment and is indicated by a capital letter, e.g. A, B
What is probability?
The proportion of times that events happen
Where can a probability lie between?
0 ; 1 including them both
0≤ P (A) ≤ 1
How do we visually illustrate events and their probability?
Ven diagram
What does the rectangle of the oven diagram show?
All the outcomes of a sample space
What do the two circles of the venn diagram show?
The events
What can the area of the two circles be represented as?
A ∪ B
What can the area of the overlap of the two circles be represented as?
A ∩ B
What is the equation for the probability that event A or B will occur when they are not mutually exclusive?
P(A ∪ B)= P(A) + P(B) - P(A∩B)
How do you know if 2 events are independent from one another?
If the occurring of one does not affect the other
What is the equation of the probability of both events occurring when they are independent?
P(A∩B) = P(A) × P(B)
What is the complement of event A and what is its symbol?
This is the set of outcomes and lie within the sample space, and are not included in the outcomes of the event A
Ā