When are two events and said to be mutually exclusive?

MATHEMATICS · Single correct · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

When are two events

E

and

F

said to be mutually exclusive? (a) Their probabilities add up to

1

, i.e.

P(E)+P(F)=1

.},{ (b) Together they cover the entire sample space,

E \cup F = S

.},{ (c) They have no common outcomes, so

E \cap F = \emptyset

.},{ (d) The occurrence of one does not affect the probability of the other.}],