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Question: If \(4 P ( A ) = 6 P ( B ) = 10 P ( A \cap B ) = 1\) then \(P \left( \frac { B } { A } \right) =\)...

If 4P(A)=6P(B)=10P(A∩B)=14 P ( A ) = 6 P ( B ) = 10 P ( A \cap B ) = 1 then P(BA)=P \left( \frac { B } { A } \right) =

A

25\frac { 2 } { 5 }

B

35\frac { 3 } { 5 }

C

710\frac { 7 } { 10 }

D

1960\frac { 19 } { 60 }

Answer

25\frac { 2 } { 5 }

Explanation

Solution

P(BA)=P(A∩B)P(A)=(1/10)(1/4)=25P \left( \frac { B } { A } \right) = \frac { P ( A \cap B ) } { P ( A ) } = \frac { ( 1 / 10 ) } { ( 1 / 4 ) } = \frac { 2 } { 5 }