A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 4.
How many numbers would be greater than 4 ?
To find the probability of rolling a number greater than 4 on a standard number cube (with numbers 1 through 6), you need to determine the number of favorable outcomes (rolling a number greater than 4) and the total number of possible outcomes.
1. Determine the number of favorable outcomes:
Since you want to roll a number greater than 4, you can count the number of faces on the cube that have a value greater than 4, which in this case is 5 and 6. So, there are two favorable outcomes: rolling a 5 or rolling a 6.
2. Determine the total number of possible outcomes:
A standard number cube has 6 faces, and each face has a different number from 1 to 6. Therefore, there are 6 possible outcomes when rolling the number cube.
3. Calculate the probability:
The probability is the number of favorable outcomes divided by the total number of possible outcomes.
P(rolling a number greater than 4) = number of favorable outcomes/total number of possible outcomes
P(rolling a number greater than 4) = 2/6
Simplifying the fraction, 2/6 can be reduced to 1/3.
So, the probability of rolling a number greater than 4 on a standard number cube is 1/3, which can also be expressed as approximately 0.33 or 33.33%.