Homework Sourse242 Find P A B if P A 0 2 P B 0 4 and P A B P
2.4.2. Find P ( A ? B ) if P ( A ) = 0 . 2, P ( B ) = 0 . 4, and P ( A | B ) + P ( B | A ) = 0 . 75.
2.4.2. Find P ( A ? B ) if P ( A ) = 0 . 2, P ( B ) = 0 . 4, and P ( A | B ) + P ( B | A ) = 0 . 75.
2.4.2. Find P ( A ? B ) if P ( A ) = 0 . 2, P ( B ) = 0 . 4, and P ( A | B ) + P ( B | A ) = 0 . 75.
Solution
P ( A ? B ) if P ( A ) = 0 . 2, P ( B ) = 0 . 4, and P ( A | B ) + P ( B | A ) = 0 . 75.
P(A/B)=P( A ? B )/P(B)
P(B/A)=P( A ? B )/P(A)
P( A ? B )/P(B)+P( A ? B )/P(A)=0.75
P( A ? B )/0.4+P( A ? B )/0.2=0.75
3P( A ? B )=0.4*0.75
P( A ? B )=(0.4*0.75)/3 =0.1
