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Applying the general addition rule to the example

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Reference no: EM132021772

Non mutually exclusive events can occur jointly.

Example: In a deck of 52 cards, there are 4 suites (heart, diamond, club, spade), each suite has 4 face cards (ace, king, queen, jack) and 9 number cards (2-10). If event A is the card drawn is heart and event B is ace, these events can occur jointly as ace of hearts. Adding P(ace) + P(heart), we get = 4/52 + 13/52 = 17/52, but we know there are only 16 cards (13 hearts and 3 more aces). So that P(A and B) is not double counted , it must be subtracted from P(A) + P(B).

Generation Addition Rule: P(A or B) = P(A) + P(B) - P(A and B).

Applying the General Addition Rule to the example, P(ace or hearts) = 13/52 + 4/52 - 1/52 = 16/32

Select One:

General Multiplication Rule: P(A and B) = P(A) x P(B I A)

General Addition Rule: P(A or B) = P(A) + P(B) - P(A and B)

Simple Addition Rule: P(A or B) = P(A) + P(B)

Simple Multiplication Rule: P(A and B) = P(A)*P(B)

Reference no: EM132021772

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