Question

Bayes Probability Question

Answer 1

We are given \[P(C|Q _{G}) = 0.72\] \[P(C|Q _{OK}) = 0.40\] \[P(C|Q _{B}) =0.00\]

Using Bayes' Formula we know that
\[P(C|Q _{G}) = \frac{ P(C ∩ Q _{G}) }{ P(Q _{G}) }= 0.72\]
\[P(C|Q _{G}) = \frac{ P(C ∩ Q _{OK}) }{ P(Q _{OK}) }= 0.40\]
\[P(C|Q _{G}) = \frac{ P(C ∩ Q _{B}) }{ P(Q _{B}) }= 0.00\]