Consider the following statements
Assertion (A) If $P_1, P_2, P_3$ are probability of happening of three independent events, then probability of happening of atleast one of them is $1-\left[\left(1-P_1\right)\left(1-P_2\right)\left(1-P_3\right)\right]$
Reason (R) For any three independent events $A, B$ and $C$
$$ \begin{array}{r} P(A \cup B \cup C)=P(A)+P(B)+P(C)-P(A) P(B)-P(A) P(C) -P(B) P(C)+P(A) P(B) P(C) \end{array} $$
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
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