Let M and N be two events such that P(M) = 0.6, P(N) = 0.2 ...

CBSE Class 12 Math 2025 All Sets Solved Paper

Question : 7 of 20

Marks: +1, -0

Let M and N be two events such that P(M) = 0.6, P(N) = 0.2 and

P(M ∩ N)=0.5,

then

P (M^{'} \/ N^{'})

Solution:

P(M)=0.6, P(N)=0.2, P(M ∩ N)=0.5,

P(M ∪ N)=P(M)+P(N)-P(M ∩ N)

P (M^{'} \/ N^{'}) =\;{P (M^{'} ∩ N^{'}) }/{P (N^{'}) }=\;{P ((M ∪ N)^{'}) }/{P (N^{'}) }

=\;{1-P(M ∪ N)}/{1-P(N)}

=\;{1-[P(M)+P(N)-P(M ∩ N)]}/{1-P(N)}

=\;{1-[0.6+0.2-0.5]}/{1-0.2}

=\;{1-0.3}/{0.8}=\;{0.7}/{0.8}

=\;{7}/{8}

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