Solveeit Logo

Question

Question: If A and B are two independent events such that \(P ( A ) = 0.40 , P ( B ) = 0.50\) Find \(P\) (...

If A and B are two independent events such that

P(A)=0.40,P(B)=0.50P ( A ) = 0.40 , P ( B ) = 0.50 Find PP (neither A nor B)

A

0.90

B

0.10

C

0.2

D

0.3

Answer

0.3

Explanation

Solution

P(P ( neither AA nor B)=P(AˉBˉ)B ) = P ( \bar { A } \cap \bar { B } ) P( u rks A o u B) =P(AˉBˉ)= P ( \bar { A } \cap \bar { B } )

=P(Aˉ)P(Bˉ)=0.6×0.5=0.30= P ( \bar { A } ) \cdot P ( \bar { B } ) = 0.6 \times 0.5 = 0.30.