Question

State, with evidence, whether each of the following

statements is true or false:

a. The probability of the union of two events cannot

be less than the probability of their intersection.

b. The probability of the union of two events cannot

be more than the sum of their individual

probabilities.

c. The probability of the intersection of two events

cannot be greater than either of their individual

probabilities.

d. An event and its complement are mutually exclusive.

e. The individual probabilities of a pair of events cannot

sum to more than 1.

f. If two events are mutually exclusive, they must

also be collectively exhaustive.

g. If two events are collectively exhaustive, they must

also be mutually exclusive.

Answer 1

a) True

b) True

c) True

d) True

e) false

f) True ( assuming there is only two events exist) . False if more than 2 events exist

g) false