Answer:
a. independent event P(AuB)=P(A)+P(B)
b. mutually exclusive event P(AuB) = P(A) + P(B) - P(AnB)
c. independent event P(A and B) = P(A).P(B)
d. complement P(A') = 1 - P(A)
Step-by-step explanation:
a. For two events A and B the union of the two sets is simply all the elements present in both set. This can be expressed as
P(AuB)=P(A)+P(B)
b. Two events are said to be mutually exclusive if they cannot occur at the same time. i.e no same element must be present in both events at a time. This can be expressed as
P(AuB) = P(A) + P(B) - P(AnB)
c. event A and event B are said to be independent if the incidence of event A does not affect the probability of the event B.
This can be expressed as
P(A and B) = P(A).P(B)
d. complement of an event are simply all the occurrence not in he set but in the universal set.
the complement of set A can be expressed as
P(A') = 1 - P(A)
