Question

Consider a six-sided fair dice. Complete the following tables for this die:

Number on the dice	Number of times it appears on the dice	Relative frequency of seeing that number
1
2
3
4
5
6
Total

This is the entire question, does not say how many times the dice is thrown

Answer 1

This is a six sided fair die having numbers 1 through 6, each value appearing only once, since this is a fair die.

Hence the number of times 1 appears on the die face is 1, similarly 2,3,4,5,6 appear once each on one of the faces.

There are a total of 6 numbers printed on the die/there are 6 faces.

The relative frequency of any number on the die is (number of times it appears on the die)/(Total number faces on the die)

That means, the relative frequency of 1 is 1/6. Similarly the relative frequencies of the rest of the numbers are 1/6 each.

The table now can be filled

Number on the dice	Number of times it appears on the dice	Relative frequency of seeing that number
1	1	0.1667
2	1	0.1667
3	1	0.1667
4	1	0.1667
5	1	0.1667
6	1	0.1667
Total	6	1

In other words, if X is the number that the die lands on face up, when rolled, the probability distribution of X is

Number rolled (x)	P(x)
1	0.1667
2	0.1667
3	0.1667
4	0.1667
5	0.1667
6	0.1667

Or the probability that 1 is rolled on any given roll of this die is 1/6.

similarly the probability that 2 is rolled is 1/6 and so on.