Probability Flashcards
What is the shaded area called?
The intersection of A and B.
What is set notation for the intersection of A and B?
What is the shaded area called?
The union of A and B.
What is the set notation of the union of A and B?
What is the shaded area called?
The compliment of A.
What is the set notation for the compliment of A?
P(A’)
What is the equation for P(A’)?
P(A’) = 1 - P(A)
When events can’t happen at the same time, what are they called?
Mutually exclusive events.
In mutually exclusive events, what is this equal to?
0
In mutually exclusive events, what is this equal to?
P(A) + P(B)
What is it called when events can happen at the same time?
Not mutually exclusive events.
In not mutually exclusive events, what happens to the circles in the venn diagram?
The circles overlap
In mutually exclusive events, what happens to the circles in a Venn diagram?
They don’t overlap.
What can tree diagrams be used to show?
the outcomes of two (or more) events happening one after the other.
What are independent events in tree diagrams?
When one event has no effect on the other.
In independent events what is this equal to?
P(A) x P(B)
What do probabilities add up to?
1
What is a conditional probability?
The probability of an event can change depending on the outcome of a previous event.
What is used to indicate conditional probabilities?
A vertical line.
What is the probability that B occurs given that A has already occurred written as?
P(B|A)
What is the probability that B occurs given that A has not already occurred written like?
P(B|A’)