Probability Rules l Rule 1 The probability of
Probability Rules l Rule 1. The probability of any event (A) is a number between zero and one. 0 < P(A) < 1
Probability Rules l Rule 2. The sum of the probabilities of all basic outcomes in the sample space must equal one P(S)=P(e 1)+P(e 2)+P(e 3)+. . +P(en)=1
Probability Rules l Rule 3. The probability of the union of two basic outcomes is equal to the sum of the probabilities of the individual events If E 1 = (e 1, e 2, e 3) then, P(E 1) = P(e 1) + P(e 2) + P(e 3)
Probability Rules l Rule 4. The Complement of an event is the remainder of the sample space beyond the event P (A) = 1 - P (A)
Probability Rules l Rule 5. The Addition Rule describes the probability for the union of two events as the sum of marginal probabilities minus their joint (common) probability P(A or B) = P(A) + P(B) - P(A and B)
Probability Rules l Rule 6. Addition Rule for mutually exclusive events A and B P(AUB) = P(A) + P(B) P(A or B) = P(A) + P(B)
Probability Rules l Rule 7. Conditional probability for any two events, A and B, is P (A given B) = P (A and B) / P (B) where, P (B) is not equal to zero
Probability Rules l Rule 8. Conditional probability for independent events, A and B, is P (A B) = P (A), and P (B A) = P (B)
Probability Rules l Rule 9. Multiplication rule for two Events, A and B, is P (A and B) = P (A) * P (B A), or P (B and A) = P (B) * P (A B)
Probability Rules l Rule 10. Multiplication rule for independent events, A and B, is P (A and B) = P (A) * P (B)
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