A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 4.
There are 12 possible outcomes when rolling a 12-sided die, with each outcome being equally likely.
The numbers greater than 4 on the die are 5, 6, 7, 8, 9, 10, 11, and 12. There are a total of 8 outcomes that are greater than 4.
To find the probability of rolling a number greater than 4, we divide the number of favorable outcomes (8) by the total number of possible outcomes (12):
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 8 / 12
Probability = 2/3
Probability = 0.667 or 66.7%
Therefore, the probability of rolling a number greater than 4 on a 12-sided die is 2/3 or approximately 66.7%.