5. The random variable \(X\) represents the number on the uppermost face when a fair die is thrown.
- Write down the name of the probability distribution of \(X\).
- Calculate the mean and the variance of \(X\).
Three fair dice are thrown and the numbers on the uppermost faces are recorded.
- Find the probability that all three numbers are 6 .
- Write down all the different ways of scoring a total of 16 when the three numbers are added together.
- Find the probability of scoring a total of 16 .