Important Formulae: Probability CAT Notes | EduRev

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Probability: Important Formulae: Probability CAT Notes | EduRev
For Complementary Events: P(A) + P(A’) = 1
For Exhaustive Events: P(A) + P(B) +P(C)… = 1

Addition Rule:
P (A U B) = P(A) + P(B) – P(A ∩ B)
For Mutually Exclusive Events P(A ∩ B) = 0
⇒ P (A U B) = P(A) + P(B)

Multiplication Rule:
P(A ∩ B) = P(A) P(B/A) = P(B) P(A/B)
For Independent Events P(A/B) = P(B) and P(B/A) = P(B)
⇒ P(A ∩ B) = P(A).P(B)
⇒ P (A U B) = P(A) + P(B) – P(A).P(B)

EduRev's Tip: If the probability of an event occurring is P, then the probability of that event occurring ‘r’ times in ‘n’ trials is = nCr x Pr x (1-P)n-r

Odds
Important Formulae: Probability CAT Notes | EduRev 

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