I know how to calculate probabilities from joint probability tables, but not from conditional probability tables. From the below table how can I calculate P(C)?
How to calculate probability from a conditional probability table?
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probability
probability-theory
1 Answers
3
You cannot, as there is insufficient information.
By the Law of Total Probability: $$\mathsf P(C=c)~=~\mathsf P(C=c\mid A=0)\,\mathsf P(A=0)+\mathsf P(C=c\mid A=1)\,\mathsf P(A=1)$$
The first factor of each term comes from the table, but you don't have $\mathsf P(A=0)$ nor $\mathsf P(A=1)$.