Read the two statements and choose the correct option.

I. If $A$ and $B$ are independent, then $P(A \cup B) = P(A) + P(B)$.

II. Independent events with positive probabilities cannot happen together.

Explanation

1. 01

   I: that formula needs $P(A \cap B) = 0$; independence gives $P(A \cap B) = P(A)P(B) > 0$. False.

2. 02

   II: $P(A \cap B) = P(A)P(B) > 0$, so they can happen together. False.