Workshop 3 - Basic Probability Flashcards
If an event if certain to occur, what is its probability?
1
If an event is certain not to occur, it has a probability of?
0
Experiment
Process leading to exactly one of various possible outcomes
E.g. tossing a coin
Outcome
Possible things that can happen in an experiment
(E.g. when tossing a coin only two outcomes: heads or tails)
Sample space
Set of all possible outcomes
(Tossing a coin sample space is heads or tails)
Event
Subset of sample space, that is, a set of some outcomes.
Complement of an event
For an event A, the event not A is called the complement
P(not A) = 1 - P(A) because the sum of all probabilities assigned to outcomes in a sample space must be equal to 1.
Probability of event A is (if all outcomes equally likely)
P(A) = number of outcomes in the event A / number of outcomes in the sample space S
Mutually exclusive
Events are considered this if they cannot occur together
P(A U B) = P(A) + P(B)
Not mutually exclusive
Events are considered this if they can occur together
P(A U B) = P(A) + P(B) - P(A^B)