Question

let a and b be independent events for which the conditional probability of a given b is 0.8. which of the following statements must be true? the probability of a is 0.8. the probability of b is 0.2. the conditional probability of b given a is 0.2. the conditional probability of b given a is 0.8.

Explanation:

Step1: Recall independence rule

For independent events $A$ and $B$, $P(A|B)=P(A)$.

Step2: Apply to conditional probability

Since $P(A|B) = 0.8$, then $P(A)=0.8$.

Answer:

The probability of A is 0.8.