A number cube numbered 1 through 6 is rolled. What is the probalitlity of rolling a prime number?

1/2

To find the probability of rolling a prime number on a number cube, we need to determine the number of favorable outcomes (rolling a prime number) and the total number of possible outcomes.

Step 1: Determine the favorable outcomes
The prime numbers between 1 and 6 are 2, 3, and 5. Therefore, there are three favorable outcomes.

Step 2: Determine the total number of possible outcomes
Since the number cube has 6 faces numbered 1 through 6, there are a total of six possible outcomes.

Step 3: Calculate the probability
To calculate the probability, divide the number of favorable outcomes (3) by the total number of possible outcomes (6):

Probability = Number of favorable outcomes / Total number of possible outcomes
= 3 / 6
= 1/2
= 0.5

Therefore, the probability of rolling a prime number on the number cube is 0.5 or 50%.