Mark the correct alternative in each of the following:
If A and B are two independent events with then equals.

Question

Mark the correct alternative in each of the following: If A and B are two independent events with then equals.

Philoid · Accepted Answer

→ (Given)

Now as we know,

= 1 – P(A⋃B) → (1)

Since, A and B are two independent events,

P(A∩B) = P(A) P(B)

→ (2)

Now, according to the addition theorem of probability,

P(A⋃B) = P(A) + P(B) – P(A⋂B)

→ From (2)

→ (3)

Using (3) in equation (1) we get,

= 1 – P(A⋃B)

Mark the correct alternative in each of the following:If A and B are two independent events with then equals.