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When are two events considered to be independent?
Two events are independent when we know that the occurrence of one event doesn’t change the probability of the other event
When are two events independent?
Two events are independent when
1) P(A|B) = P(A)
2) P(B|A) = P(B)
What is the formula for finding conditional probability? (Of dependent events)
P(A|B) = P(A∩B)/P(B)
What is conditional probability?
Probability that reflects additional knowledge
What is unconditional probability?
Probability that doesn’t reflect additional knowledge
What is the multiplicative rule of probability used for?
It is used to calculate the chance of two or more events happening together (intersection)
What is the multiplicative rule of probability for independent events?
P(A∩B) = P(A) P(B)
What is the multiplicative rule of probability for dependent events?
P(A∩B) = P(A) P(B|A)