A number cube with the numbers 1 through 6 is rolled. Find the probability.
P(number>3)
There are two ways to approach this problem:
Method 1: Counting
Out of the six possible outcomes, there are three numbers (4, 5, and 6) that are greater than 3. So the probability of rolling a number greater than 3 is 3/6 or 1/2.
Method 2: Using fractions
The probability of rolling a number greater than 3 can also be calculated by finding the number of favorable outcomes (rolling a 4, 5, or 6) divided by the total number of possible outcomes. The probability can be written as:
P(number>3) = number of favorable outcomes / total number of possible outcomes
Number of favorable outcomes = 3 (rolling a 4, 5, or 6)
Total number of possible outcomes = 6 (rolling any number from 1 to 6)
So, P(number>3) = 3/6 = 1/2.