1. (5% each, 20% in total) Yes/No questions. No need to state reasons.

(a) Consider three events \( E_1, E_2 \), and \( E_3 \). Is the statement "if \( P[E_1 \cap E_2 \cap E_3] = P[E_1]P[E_2]P[E_3] \), then \( E_1, E_2 \), and \( E_3 \) are independent" true?