Probability Flashcards
What is a sample space
A sample space is the set of all possible outcomes
What is the complement of Event A
All the possible outcomes which is not in the set of A
P(A) + P(A^C) = ? (P(A^C) is complement of A)
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What is the symbol for union of two events and what does it mean using event A and B as examples
The symbol of union is ∪ and it contains all outcomes in either A or B or both
What is the symbol for intersection of two events and what does it mean using event A and B as examples
The symbol of intersection is ∩ and it contains all outcomes that are in both A and B
What is the addition rule for any two events (i.e. if event A OR B occurs)
P(A∪B) = P(A) + P(B) - P(A∩B)
What is the formula for mutually exclusive events (i.e. if event A OR B occurs) For P(A∪B)
P(A∪B) = P(A) + P(B)
What is an independent event
An independent event have outcomes that don’t affect the possible outcome of each other
What is the product rule for two independent events (i.e. if event A occurs and then B occurs)
P(AB) = P(A) * P(B)
How do you test if events A and B are independent
P(A∩B) = P(A) * P(B)
How do you test if events A and B are mutually exclusive events
P(A) = 0 or P(B) = 0 or P(A∩B) = 0
What is the equation for the conditional probability of A occurring, given that B has occurred (P(A|B))
P(A|B) = P(A∩B) / P(B) P(A|B) = reduced event space/reduced sample space
What are some keywords for conditional probability
given, if
What is the sum of the probability of all outcomes
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What is the probability of an event P(A) of an experiment with equally likely outcomes
number of desirable/favorable outcomes divided by
number of possible outcomes
