Roll two dice 48 times and record the sum of the spots on the top faces as you r

Question

Roll two dice 48 times and record the sum of the spots on the top faces as you roll. Then construct a probability distribution for your 48 sums. Using the probability distribution you constructed, find the mean number of spots. (If you don't have two dice, then cut out 6 pieces of paper with each being the same size and with #1,2,3,4,5,6 written on them. Place the pieces of paper in a hat or bowl. Pull out a number, then replace, pull out a number again and record the sum of the 2 numbers.) (c) Is the mean in (b) close to the mean in (a)? Explain why there is a difference in the two means or why they are the same.

Explanation / Answer

The process of rolling two dice 48 times and recording the sum of the spots on the top faces and the second one of "cut out 6 pieces of paper with each being the same size and with #1,2,3,4,5,6 written on them. Place the pieces of paper in a hat or bowl. Pull out a number, then replace, pull out a number again and record the sum of the 2 numbers" lead to the same experiment. No difference will be there in the two means as the probability of getting a number between 1-6 on a roll of dice or that of obtaining through this described above.

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