If two 12 sided dice are rolled what is the probability that both numbers will be even?
There are 12 possible outcomes for each die roll, since each die has 12 sides. Out of these 12 outcomes, 6 are even numbers (2, 4, 6, 8, 10, 12) and 6 are odd numbers (1, 3, 5, 7, 9, 11).
To find the probability of both numbers being even, we need to calculate the product of the probabilities of each individual die roll being even.
The probability of rolling an even number on the first die is 6/12 = 1/2.
Similarly, the probability of rolling an even number on the second die is also 1/2.
To find the probability of both events occurring, we multiply the probabilities together:
P(both numbers even) = (1/2) * (1/2) = 1/4.
Therefore, the probability that both numbers rolled will be even is 1/4 or 0.25.