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Questions and Answers
What is the formula for mutually exclusive events?
What is the formula for mutually exclusive events?
- P(A or B) = P(A) + P(B) (correct)
- P(A or B) = P(A) + P(B) - P(A and B)
- P(B|A) = P(A and B) / P(A)
- P(A and B) = P(A) + P(B)
What is the general addition rule formula?
What is the general addition rule formula?
- P(A and B) = P(A) P(B|A)
- P(A or B) = P(A) + P(B) - P(A and B) (correct)
- P(B|A) = P(A and B) / P(A)
- P(A or B) = P(A) + P(B)
What is the formula for the general multiplication rule?
What is the formula for the general multiplication rule?
- P(A or B) = P(A) + P(B)
- P(A and B) = P(A) P(B|A) (correct)
- P(B|A) = P(A and B) / P(A)
- P(A|B) = P(A and B) / P(B)
What is the multiplication rule for independent events?
What is the multiplication rule for independent events?
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What is the formula for conditional probability?
What is the formula for conditional probability?
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Study Notes
Mutually Exclusive Events
- Mutually exclusive events cannot occur at the same time.
- Probability formula: P(A or B) = P(A) + P(B).
General Addition Rule
- Applies to any two events, whether they are mutually exclusive or not.
- Probability formula: P(A or B) = P(A) + P(B) - P(A and B).
General Multiplication Rule
- Used to find the probability of the occurrence of two events A and B together.
- Probability formula: P(A and B) = P(A) * P(B|A), where P(B|A) is the conditional probability of B given A.
Multiplication Rule for Independent Events
- For independent events, the occurrence of one does not affect the other.
- Probability formula: P(A and B) = P(A) * P(B).
Conditional Probability Formula
- Conditional probability measures the likelihood of an event occurring given that another event has already occurred.
- Probability formula: P(B|A) = P(A and B) / P(A).
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