Question

We roll three fair dice, and the maximum value is recorded. So if we roll 3, 5, and 2, we record 5. What is the average of this maximum value? (Hint: In three adjacent cells in a row, roll a fair die ("-randbetween(1,6)" or "=trunc(rand()*6+1)" ). In the next column, find the maximum of the three ("-max(a1:c1)", but use the appropriate range instead of "a1:c1"). Copy this row to 1000 lines, and find the average of the column with the maximum value.)

Answer 1

To find the average of the maximum value when rolling three fair dice, roll the dice 1000 times and record the maximum value for each roll. Calculate the average of the 1000 maximum values.

Step-by-step explanation:

To find the average of the maximum value when rolling three fair dice, we need to find the maximum value for each roll and then calculate the average of those maximum values.

Let's simulate rolling three fair dice and record the maximum value for each roll:

1. Roll the first die and record the result.
2. Roll the second die and record the result.
3. Roll the third die and record the result.
4. Find the maximum value among the three results.
5. Repeat steps 1-4 for a total of 1000 rolls.
6. Calculate the average of the 1000 maximum values.

By following these steps, we can determine the average of the maximum value when rolling three fair dice.