Questions: Given two statistically independent events (A, B), the joint probability of P(AB)=P(A)+P(B).

Solution Steps

The statement claims that for two statistically independent events \( A \) and \( B \), the joint probability \( P(A B) = P(A) + P(B) \).

For two independent events \( A \) and \( B \), the joint probability is given by: \[ P(A B) = P(A) \cdot P(B) \]

The given statement \( P(A B) = P(A) + P(B) \) contradicts the correct formula \( P(A B) = P(A) \cdot P(B) \). Therefore, the statement is false.

Final Answer