Problem:

Let the three mutually independent events be such that .

Find .

Attempt:

By the definition of mutually independent events,

.

Since they are mutually independent events, they are also pairwise e.g.

So, by the distribution property i.e. , then

Then by DeMorgan's Laws,

Since C1, C2, and C3 are mut. ind., then

But from here I do not know how to continue.

Thank you for your time.