Question

Let P(C) = 0.4
Let P(D) = 0.5
Let P(C|D) = 0.6
a. Find P(C AND D) .
d. Find P(C OR D) .
e. Find P(D|C).

Answer 1

\[P(C/D)=\frac{ P \left( C and D \right) }{P \left( D \right) }\]
\[0.6=\frac{ P \left( A and D \right) }{ 0.5 },\]
P (C and D)=0.6*0.5= 0.3
\[P \left( C or D \right)=P \left( C \right)+P \left( D \right)-P \left( C and D \right)\]
\[P \left( \frac{ D }{ C } \right)=\frac{ P \left( C and D \right) }{P \left( C \right) }\]
CALCULATE.