If 2 12 sides Dice are rolled what is the probability that both numbers will be even? Use fractions!
To find the probability that both numbers will be even when two 12-sided dice are rolled, we need to determine the number of favorable outcomes (both numbers are even) and divide it by the total number of possible outcomes.
There are six even numbers on a 12-sided die: 2, 4, 6, 8, 10, and 12. So, there are a total of 6 even numbers on each die.
The total number of possible outcomes when two 12-sided dice are rolled is 12 x 12 = 144.
The number of favorable outcomes is the number of ways we can select an even number from the first die (6 options) multiplied by the number of ways we can select an even number from the second die (also 6 options) = 6 x 6 = 36.
Therefore, the probability that both numbers rolled will be even is 36/144, which can be simplified to 1/4 or 25%.