Pair of Dice Roll a pair of dice 60 times and record the sum

Pair of Dice. Roll a pair of dice 60 times and record the sums. Determine the empirical probability of rolling a sum of

            a)         2.

            b)         7.

c)     Does the probability of rolling a sum of 2 appear to be the same as the probability of rolling a sum of 7? Explain your answer

Solution

Empirical probablity of rolling a sum of 2 is 1/36 because you will get 2 only when both dices show 1 and that is just possible in one way while total cases are 36 .

Empirical probablity of rolling a sum of 7 is 2/36 because you will get 7 only when one dice show 1 and other show 6 and that is just possible in two ways one time first dice is showing 1 and next time other dice is showing 1. while total cases are 36 .

No . Because both have different cases satisfying the condition givenin question.