How to Calculate the Sample Mean of a Game

The sample mean of a game is calculated by rolling a fair set of ten six-sided dice with numbered faces. Then, all possible samples of size two are created. A simulation was conducted using these dice to determine the sample mean of the game.

Probability of success in one trial

Suppose that a student randomly rolls ten fair six sided dices. Each roll has an equal probability of success, and each die can have a value of one, two, or three. In this case, the probability of getting more than 75% of the questions right is very small, and practically nonexistent. However, if the student rolls a single die, the probability of getting a one is high and therefore, the probability of getting it wrong is very low.

This can be calculated by using the formula for probability. If the die has an equal probability of producing any value, the probability of getting a particular value will be equal to the number of faces. If there are more die faces, the probability of getting a six is higher than the probability of getting a double on two six sided dice. Similarly, if a player rolls two six sided dices, the probability of rolling a seven will be twice as high as the probability of rolling a six sided die.

Probability of rolling a 6 in one trial

There are 36 possible outcomes when rolling two six sided dice. Each die has a number from one to six printed on its face. The possible outcomes are shown in the table below. Outcomes 1 and 2 are considered doublets, while outcomes 3, 4, and 5 are called different outcomes.

If you roll a six at least one time in a single trial, the probability of getting a six is one out of every six rolls. However, this doesn’t mean that you’ll always roll a six. You can roll sixes more often, but the odds don’t match the theoretical probability.

In fact, there are two types of outcomes with dice: independent and dependent. The former will occur less often than the latter.