Question

Compute each probability using the formulae P(A|B)=P(AΠB)/(P(B)) and using appropriate below table values
a)P(D|B) b)P(C|E)
c)P(B|D) d)P(E|C)
e)P(D|C) f)P(E|A)
g)P(A|C) h)P(B/B)

Answer 1

a.)P(D|B)= P(DΠB)/(P(B)) = 3/100*10/1 = 3/10.

b.)P(C|E)= P(CΠE)/(P(E)) = 7/100*10/4 = 7/40.

c.)P(B|D)= P(BΠD)/(P(D))= 3/100*10/3 = 1/10.

d.)P(E|C)= P(EΠC)/(P(C))= 7/100*10/2 = 7/20.

e.)P(D|C)= P(DΠC)/(P(C))= 7/100*10/2 =7/20.

f.)P(E|A)= P(EΠA)/(P(A))= 7/25*10/7 = 2/5.

g.)P(A|C)= P(AΠC)/(P(C))= 0/1*10/2 = 0.

h.)P(B|B)= P(BΠB)/(P(B))= 1/10*10/1 = 1.

Hope i helped u:)