When a number cube (or die) is rolled, the numbers 2, 4, and 6 are the even numbers. Thus, there are 3 even numbers out of a total of 6 numbers on the cube.
The probability of rolling an even number in a single roll is:
- Probability (Even) = Number of Even Outcomes / Total Outcomes = 3/6 = 0.5
When rolling the cube 30 times, the expected frequency of getting an even number can be calculated:
- Expected Frequency = Probability (Even) × Total Rolls
- Expected Frequency = 0.5 × 30 = 15
In this case, the cube landed on an even number 18 times. To compare this:
- Observed Frequency = 18
- Expected Frequency = 15
- Difference = Observed - Expected = 18 - 15 = 3
This means that the observed frequency of rolling an even number (18 times) is higher than the expected frequency (15 times) by 3 counts. Therefore, the outcome is slightly above what we would anticipate based on probability.