Question

Maria is to select one number from the set
at random.
​
​Consider the following three events.
​
​Event
: The selected number is an even number.
Event
: he selected number is a multiple of
.
Event
: The selected number is a multiple of
.

Part A: List the outcomes that are in event
or in event
but not in both events.
​
​Part B: List the outcomes that are in both events
and
but not in
.
​
​
Part A
Part B
Drag & Drop the answer
626262
636363
646464
686868
696969
666666
606060
616161
656565
676767

Answer 1

Assuming the sample space is {60,61,62,63,64,65,66,67,68,69}, and B = multiples of 3 = {60,63,66,69}, C = multiples of 5 = {60,65}:

Part A (in B or C but not both): {63,65,66,69}.

Part B (in both B and C but not in A): B ∩ C = {60}, but 60 is even (in A), so there are no outcomes — ∅.