The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events,

Question

Fill in the blanks:

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ________.

Answer 1

Given P(happening of an event A) = 0.5

and P(happening of an event B) = 0.3

It is also given that A and B are mutually exclusive events

⇒ P(A ⋂ B) = 0

Now, we have to find the P(neither A nor B)

= 1 – P(A ⋃ B)

= 1 – [P(A) + P(B)]

[Since, A and B are mutually exclusive]

= 1 – (0.5 + 0.3)

= 1 – 0.8

= 0.2