Conditional probability and the multiplicative rule

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8 Terms

1
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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

2
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When are two events independent?

Two events are independent when

1) P(A|B) = P(A)

2) P(B|A) = P(B)

3
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What is the formula for finding conditional probability? (Of dependent events)

P(A|B) = P(A∩B)/P(B)

4
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What is conditional probability?

Probability that reflects additional knowledge

5
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What is unconditional probability?

Probability that doesn’t reflect additional knowledge

6
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What is the multiplicative rule of probability used for?

It is used to calculate the chance of two or more events happening together (intersection)

7
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What is the multiplicative rule of probability for independent events?

P(A∩B) = P(A) P(B)

8
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What is the multiplicative rule of probability for dependent events?

P(A∩B) = P(A) P(B|A)