Question

p(A) = 2/3 p(B) = 3/5 p(AuB)=5/6 find p(B/A)​

Answer 1

Answer:

13/20

Step-by-step explanation:

p(AUB) = P(A)+ P(B) - P(AB)

P(AB) = 2/3 + 3/5 - 5/6= 13/30

p(B/A) = p(AB)/P(A)= (13/30)/(2/3)= 13/20

Answer 2

Answer:

p(B/A) =13/20

Step-by-step explanation:

p(A) =2/3

p(B) =3/5

p(AUB) =5/6

p(AUB) =p(A)+p(B)-p(AnB)

5/6=2/3+3/5-p(AnB)

5/6=19/15-p(AnB)

p(AnB) =19/15-5/6

p(AnB) =(114-75)/90

p(AnB) =39/90

p(AnB) =13/30

p(B/A) =p(AnB) /p(A)

=(13/30)/(2/3)

=13/20

p(B/A) =13/20