A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 5.
There is only one number greater than 5 on a standard number cube, and that is 6. Therefore, the probability of rolling a number greater than 5 is:
P(rolling a number greater than 5) = P(rolling a 6) = 1/6
So the probability is 1/6.
To find the probability of rolling a number greater than 5 on a standard number cube, follow these steps:
Step 1: Determine the total number of possible outcomes. Since a standard number cube has 6 sides, each numbered from 1 to 6, there are 6 possible outcomes.
Step 2: Determine the number of favorable outcomes. In this case, the only favorable outcome is rolling a number greater than 5. There is only one number greater than 5, which is 6.
Step 3: Calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, there is one favorable outcome and six possible outcomes, so the probability is 1/6.
Therefore, the probability of rolling a number greater than 5 on a standard number cube is 1/6.