a question about dice rolling and how to determine its mean value from numbers thrown... plz help!?

Question

after rolling a dice and the percentges of times a number will hit has been calculated how might the mean value of all the numbers thrown be determined?

Answer 1

Multiply each percent times its number (i.e. 1,2,3...), add all those products up and divide by 100. That's the definition of the mean value.

Answer 2

If you are talking about 1 die, with 1, 2, 3, 4, 5, and 6 on its sides, and it is a fair die (i.e. not weighted to deliberately produce a result against the run of probability) then the larger the number of rolls, the more the average roll will asymptotically converge on 3.5.

Data that suggests a die is not producing a 3.5 average roll simply establishes that the die is crooked. But the converse is not necessarily true, A die could be weighted so as to produce a high percentage of 6 and 1 rolls and still average 3.5. And appear to pass muster as a fair die.

If we are talking about rolling two dice, the average throw (at backgammon, say) is 7. Three dice and it is 10.5. Four and it is 14, n dice and 3.5 n.

The distribution of the various rolls of two dice will tend towards (in the long run)

a roll of 2: 1 time in 36
a roll of 3: 2 times in 36
a roll of 4: 3 times in 36
a roll of 5: 4 times in 36
a roll of 6: 5 times in 36
a roll of 7: 6 times in 36
a roll of 8: 5 times in 36
a roll of 9: 4 times in 36
a roll of 10: 3 times in 36
a roll of 11: 2 times in 36
a roll of 12: 1 time in 36

Answer 3

goto data analysis on the excel package and run a histogram or a bar graph and this will show you the mean