you roll a standard, six sided number cube. what is the probability of rolling a prime number or a number greater than 4.

There are four prime numbers on a standard, six-sided number cube: 2, 3, 5, and 7 (which is not on the cube, but is still a prime number). There are three numbers greater than 4 on the cube: 5, 6, and 7. However, we've already included 5 in the prime numbers. So, the total number of desired outcomes is 3 (3, 5, or 7).

The total number of possible outcomes is 6, since there are six sides on the cube.

Therefore, the probability of rolling a prime number or a number greater than 4 is 3/6 or 1/2, which can be simplified to 50% or 0.5.