If two events are independent, then. - Vidyadip

MCQ

If two events are independent, then.

A
They must be mutually exclusive.
B
The sum of their probabilities must be equal to $1.$
C
$(a)$ and $(b)$ both are correct.
✓
None of the above is correctIf two. events are independent, then.

✓

Answer

Correct option: D.

None of the above is correctIf two. events are independent, then.

Let $A$ and $B$ are two independent events, Then,
$\text{P}(\text{A}\cap\text{B})=\text{P(A)}\times\text{P(B)}$
As, $\text{P}(\text{A}\cap\text{B})\neq0$ or $\text{P(A)}+\text{P(B)}\neq1$
So, both are neither mutually exclisive nor their sum of probability is $1.$
Hence, the correct alternative is option $(d).$

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