NCERT Class XII Mathematics Chapter - - Solutions

Question : 27

Total: 101

Events A and B are such that P(A)=

, P(B)=

and P(not A or not B) =

. State whether A and B are independent ?

Solution:

Given that P (not A or not B) =

⇒P(Ac∪Bc)=

⇒P((A∩B)c)=

⇒1−P(A∩B)=

⇒P(A∩B)=1−

Also, P(A)×P(B) =

≠

⇒P(A)×P(B)≠P(A∩B)
∴ A and B are not independent.

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