A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number greater than 2?
There are a total of 6 possible outcomes since there are 6 sides on the die. We want to find the probability of rolling a number greater than 2, so we need to determine the number of favorable outcomes.
Since there are only 2 numbers less than or equal to 2 (1 and 2), there are 6 - 2 = 4 favorable outcomes (3, 4, 5, 6).
The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Therefore, the probability of rolling a number greater than 2 is 4/6, which can be simplified to 2/3.
To find the probability of rolling a number greater than 2 on a six-sided die, we need to determine the favorable outcomes (rolling a number greater than 2) and the total outcomes (all possible outcomes when rolling the die).
Favorable outcomes: The numbers greater than 2 are 3, 4, 5, and 6. So there are 4 favorable outcomes.
Total outcomes: Since the die has 6 sides, there are a total of 6 possible outcomes when rolling the die.
Now we can calculate the probability:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
= 4 / 6
= 2 / 3
Therefore, the probability of rolling a number greater than 2 is 2/3.