Answer :
The statement ask us about the probability of an event that is the combination of three independent events.
So, in order to find the probability we can multiply the probability of each separate event.
Let's calculate the probability of the three separate events:
P(even number) = # even numbers / # of numbers in a dice = 3 / 6 = 1/2
P(multiple of 3) = # multiple of three / # of numbers in a dice = 2 / 6 = 1/3
P(odd number) = # odd numbers / # of numbers in a dive = 3/6 = 1/2
The total probability is:
P(event, mult of 3, odd) = (1/2) * (1/3) * (1/2) = 1/12 = 0.0833 or 8.3 %