A 12-sided die is rolled. The set of equally likely outcomes is [1,2,3,4,5,6,7,8,9,10,11,121. Find the probability of rolling a number greater than 2.
There are 12 equally likely outcomes when rolling the 12-sided die.
The numbers greater than 2 are {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
So, there are 10 numbers greater than 2 out of the 12 possible outcomes.
The probability of rolling a number greater than 2 is given by the number of outcomes greater than 2 divided by the total number of outcomes.
Probability = Number of outcomes greater than 2 / Total number of outcomes
Probability = 10/12
Probability = 5/6
Therefore, the probability of rolling a number greater than 2 is 5/6.