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MHT-CET : Mathematics Entrance Exam

MHT - CET : Mathematics - Probability Formulae Page 1

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 1. Permutation

 

nPr =

 

 2. Combination

 

nCr =

 

 3. Defination of Probability

 

P(E) = 

Number of outcomes favourable to E

Number of all possible outcomes

 

 4. Complementary events

 

If B and A are complementary events then P(B) = P(A') = 1 - P(A)

 

5. Addition Theorem of Probability

 

If A and B are two events of sample space S, then

P(A B) = P(A) + P(B) - P(A B)

 

 

If A and B are mutually exclusive events then P(A B) = P(A) + P(B)

 

 

If A and B are any two events of sample space S, then

P(A) = P(A B) + P(A B')

 

6. Conditional Probability

 

P(A/B) is read as 'Probability of A when B has taken place' or 'Probability of A under B'

 

\ P(A/B) = 

P(A B)

, where P(A) 0

P(A)

 

7. Multiplication Theorem of Probability

 

If A and B are any two events such that P(A) 0, then

 

P(A B) = P (A) P

 

Similarly, if P(B) 0 then

 

P(A B) = P (B) P

 

8. Independent Events

Events A and B are said to be independent events if P(A/B) = P(A) OR P(B/A) = P(B)

 

 

If A and B are two independent events such that P(A) 0, P(B) 0, then

 

 

P(A B) = P (A) . P(B)

 

 

If A and B are independent events such that P(A) 0, P(B) 0, then

 

 

P(A B') = P (A) . P(B')

 

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