For two events, $A$ and $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$, and $P ( B \mid A ) = \frac { 5 } { 6 }$. Find $P ( A \cap B )$.
A) $\frac { 9 } { 10 }$

B) $\frac { 1 } { 2 }$

C) $\frac { 5 } { 9 }$

D) $\frac { 5 } { 8 }$

Question

For two events, $A$ and $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$, and $P ( B \mid A ) = \frac { 5 } { 6 }$. Find $P ( A \cap B )$.
A) $\frac { 9 } { 10 }$

B) $\frac { 1 } { 2 }$

C) $\frac { 5 } { 9 }$

D) $\frac { 5 } { 8 }$

Quizplus · Accepted Answer

The Answer of For two events, $A$ and $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$, and $P ( B \mid A ) = \frac { 5 } { 6 }$. Find $P ( A \cap B )$.
A) $\frac { 9 } { 10 }$

B) $\frac { 1 } { 2 }$

C) $\frac { 5 } { 9 }$

D) $\frac { 5 } { 8 }$

For Two Events AAA And B,P(A)=34,P(B)=23B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }B,P(A)=43​,P(B)=32​

For Two Events $A$ And $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$