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A die marked 1,2,3 in red and 4,5,6 in green is tossed. Let A be the event "the number is even" and B be the event."the number is red".Are A and B are independent?

Answer»

SOLUTION :S={1,2,3,4,5,6},A={2,4,6} and
B={1,2,3}THEREFORE `AnnB`={2}`rArr` P`(AnnB)`=1/6
P(A) =3/6=1/2 and P(B) =3/6=1/2therefore P(A) P(B)=1/2xx1/2=1/4`ne` P`(AnnB)` Thus,A and B are not independent.


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