Question

If A, B and C are three events independent of each other then $P\left(A\cap B\cap C\right)=$

1. $P\left(A\right)+P\left(B\right)+P\left(C\right)$
2. $P\left(A\right)-P\left(B\right)+P\left(C\right)$
3. $P\left(A\right)+P\left(B\right)-P\left(A\cap B\right)$
4. $P\left(A\right)P\left(B\right)P\left(C\right)$

Answer: $P\left(A\right)P\left(B\right)P\left(C\right)$

Solution :-

If A, B and C are three events independent of each other then

So, correct answer is option-4, $\to P\left(A\right)P\left(B\right)P\left(C\right)$