what are the results if you rolled a fair number cube 6000 times?

Each face will have 1/6 probability of occurring. What does that tell you?

To determine the possible results of rolling a fair number cube 6000 times, we need to understand the concept of probability. A fair number cube, often referred to as a fair six-sided die, has six equally likely outcomes, ranging from 1 to 6.

Each time you roll the cube, the probability of getting any particular number is 1 out of 6 or 1/6. The expected number of times that each number will appear can be calculated by multiplying the probability of each outcome by the total number of rolls.

Since you're rolling the cube 6000 times, you can expect that each number will appear around 1/6th of those times. Therefore, the approximate expected number of times you can expect each number to appear is:

(Expected frequency) = (Probability of each outcome) x (Total number of rolls)

(Expected frequency) = (1/6) x (6000)

(Expected frequency) ≈ 1000

So, if you roll a fair number cube 6000 times, you can expect each number to appear approximately 1000 times. However, due to the random nature of rolling a die, the actual results may have some deviation from this expected value.

It's important to note that the actual results may not be exactly 1000 for each number, as there will be some variation due to chance. This variation is what makes probability interesting and unpredictable.