What is the probability of rolling an even number greater than 2 on a fair number cube? in simplest form
2/6 = 1/3
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To calculate the probability of rolling an even number greater than 2 on a fair number cube, we need to first determine the total number of possible outcomes, as well as the number of favorable outcomes.
A standard number cube has 6 sides, numbered 1 to 6. Since we are interested in rolling an even number greater than 2, we can identify the favorable outcomes as 4, 6. These are the numbers that satisfy both conditions: even and greater than 2.
The total number of possible outcomes on a fair number cube is 6. Therefore, the probability can be calculated as:
Number of favorable outcomes / Total number of possible outcomes
In this case, the number of favorable outcomes is 2 (4 and 6), and the total number of possible outcomes is 6.
So, the probability of rolling an even number greater than 2 on a fair number cube is:
2 / 6
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (which is 2 in this case):
2 / 6 = 1 / 3
Thus, the probability is 1/3 in simplest form.