Solveeit Logo

Question

Question: If A and B are two events of a random experiment, \(P ( A ) = 0.25\) , \(P ( B ) = 0.5\) and \(P (...

If A and B are two events of a random experiment,

P(A)=0.25P ( A ) = 0.25 , P(B)=0.5P ( B ) = 0.5 and P(AB)=0.15P ( A \cap B ) = 0.15 then

P(ABˉ)=P ( A \cap \bar { B } ) =

A

0.1

B

0.35

C

0.15

D

0.6

Answer

0.1

Explanation

Solution

Since P(ABˉ)+P(AB)=P(A)P ( A \cap \bar { B } ) + P ( A \cap B ) = P ( A )

P(ABˉ)=P(A)P(AB)=0.250.15=0.1\Rightarrow P ( A \cap \bar { B } ) = P ( A ) - P ( A \cap B ) = 0.25 - 0.15 = 0.1