Consider the following statements:
Assertion $(A)$: If $P_1, P_2, P_3$ are probabilities of occurrence of three independent events, then the probability of occurrence of at least one of them is $1 - [(1 - P_1)(1 - P_2)(1 - P_3)]$.
Reason $(R)$: For any three independent events $A, B$, and $C$, $P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A)P(B) - P(A)P(C) - P(B)P(C) + P(A)P(B)P(C)$.
The correct option among the following is:

• A
  $(A)$ is true, $(R)$ is true, and $(R)$ is the correct explanation for $(A)$
• B
  $(A)$ is true, $(R)$ is true, but $(R)$ is not the correct explanation for $(A)$
• C
  $(A)$ is true, but $(R)$ is false
• D
  $(A)$ is false, but $(R)$ is true