1 3 2 4 5 An urn contains

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1 3 2 4 5 An urn contains: 3 red marbles and 2 blue marbles Draw 2 without replacement. # possible outcomes = C( 5, 2 ) =

The SAMPLE SPACE = {1 1 2 1 3 2 4 3 1 4 2 5 2 4 5 An urn contains: 3 red marbles and 2 blue marbles Draw 2 without replacement. # possible outcomes = C( 5, 2 ) = 1 5 3 4 2 3 3 5 4 5 }

The SAMPLE SPACE = {1 1 2 1 3 2 4 3 1 4 2 5 1 5 3 4 2 3 3 5 2 4 5 The EVENT they are the same color = S= { 1 2 1 3 2 3 4 5 } P(S) = 4/10 4 5 }

The SAMPLE SPACE = {1 1 3 2 4 5 2 1 3 1 4 1 5 2 4 2 5 3 4 S={ 1 2 1 3 2 3 3 5 4 5 } P(S) = 4/10

The SAMPLE SPACE = {1 1 3 2 4 5 2 1 3 1 4 1 5 2 4 2 5 3 4 S={ 1 2 1 3 2 3 The EVENT the sum is five = F= { 2 3 1 4 } 2 3 3 5 4 5 } P(F) = 2/10 4 5 } P(S) = 4/10

The SAMPLE SPACE = {1 1 3 2 4 5 2 1 3 1 4 1 5 2 4 2 5 3 4 S={ 1 2 1 3 2 3 F={ 2 3 1 4 } 2 3 3 5 4 5 } P(S) = 4/10 P(F) = 2/10

The SAMPLE SPACE = {1 1 3 2 4 5 2 1 3 1 4 1 5 2 4 2 5 3 4 S={ 1 2 1 3 2 3 F={ 2 3 1 4 } 2 3 3 5 4 5 } P(S) = 4/10 P(F) = 2/10 The EVENT they are the same color AND the sum is five = S F = P(S F ) = 1/10 { 2 3 }

The SAMPLE SPACE = {1 1 3 2 4 5 2 1 3 1 4 1 5 2 4 2 5 3 4 S={ 1 2 1 3 2 3 F={ 2 3 S F = { 1 4 2 3 } 2 3 3 5 4 5 } } P(S F ) = 1/10 4 5 } P(S) = 4/10 P(F) = 2/10

The SAMPLE SPACE = {1 2 1 3 1 4 1 5 1 2 4 3 5 2 4 2 5 3 4 S={ 1 2 1 3 2 3 F={ 2 3 1 4 S F ={ 2 3 } } 2 3 3 5 4 5 } P(S) = 4/10 P(F) = 2/10 P(S F ) = 1/10

The SAMPLE SPACE = {1 2 1 3 1 4 1 5 1 2 4 3 5 2 4 2 5 3 4 S={ 1 2 1 3 2 3 F={ 2 3 1 4 S F ={ 2 3 } } 2 3 3 5 4 5 } P(S) = 4/10 P(F) = 2/10 P(S F ) = 1/10 The EVENT they are the same color OR the sum is five = S F P(S F ) = = P(S) 4/10 + + P(F) 2/10 - P(S F ) 1/10 = 5/10

The SAMPLE SPACE = {1 2 1 3 1 4 1 5 1 2 4 3 5 2 4 2 5 3 4 S={ 1 2 1 3 2 3 F={ 2 3 1 4 S F ={ 2 3 } } 2 3 3 5 4 5 } P(S) = 4/10 P(F) = 2/10 P(S F ) = 1/10 P(S F ) = 5/10 = 1/2 The EVENT they are the same color IF the sum is five = S / F P(S / F ) = P(S F ) = P(F) 1/10 = 1 2/10 2