Question

If A and B are mutually exclusive, with P(A) = 0.3, P(B) = 0.5. What is the probability that

•either A or B occurs;

•A occurs but B does not;

•both A and B occur;

•neither A nor B occur;

•A or B but not both?

Answer 1

According to the question it is said that A and B are mutually exclusive events it means that both events cannot happen together it means that

then   

then

1) either A or B occurs means that we have to find the probability of P(AUB)

2)A occurs but B does not it means that we have to find the probability of

then can be written as

3) Both A and B cannot occur as they are mutually exclusive hence

  

4) neither A occurs nor B occurs means that we have to find

  

  

  

5)Since A and B are mutually exclusive events they cannot occur together ,either A will occur or B then