Question: 1.) 2.) 3.) 4.) 1.) Ans : True Explanation : 1 1 1 1 1 1 P ( A )=P ( a ) + P

1.) 2.) 3.) 4.) 1.) Ans : True Explanation : 1 1 1 1 1 1 P ( A )=P ( a ) + P ( b )= + = P ( B ) =P ( b ) + P ( c ) = + = 4 4 2 4 4 2 Since A B= { a ,b } { b , c }={ b } 1 P ( AB )=P ( b ) = 4 1 Here P ( AB )=P ( A ) P ( B )= . 2 2.) Ans : Here A C={ a , b } {c , d }= ( Empty set ) Now P ( A C ) 0 P ( A|C ) = = =0 . P(C ) P (C ) 3.) Ans : True Explanation :. 1 1 1 P ( A )=P ( a ) + P ( b )= + = P ( D )= p ( e ) =0 4 4 2 A D= ( Empty set ) > P ( AD )=P ( A D )=0 Here P ( AD ) =P ( A ) P ( D )=0 . 4.) Ans : 1 1 P ( A o rD )=P ( A ) + P ( D )P ( AD ) = +00= . 2 2 1.) Ans : True Explanation : 1 1 1 1 1 1 P ( A )=P ( a ) + P ( b )= + = P ( B ) =P ( b ) + P ( c ) = + = 4 4 2 4 4 2 Since A B= { a ,b } { b , c }={ b } 1 P ( AB )=P ( b ) = 4 1 Here P ( AB )=P ( A ) P ( B )= . 2 2.) Ans : Here A C={ a , b } {c , d }= ( Empty set ) Now P ( A C ) 0 P ( A|C ) = = =0 . P(C ) P (C ) 3.) Ans : True Explanation :. 1 1 1 P ( A )=P ( a ) + P ( b )= + = P ( D )= p ( e ) =0 4 4 2 A D= ( Empty set ) > P ( AD )=P ( A D )=0 Here P ( AD ) =P ( A ) P ( D )=0 . 4.) Ans : 1 1 P ( A o rD )=P ( A ) + P ( D )P ( AD ) = +00= . 2 2

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