A die is a cube with dots on each face. The faces have 1, 2, 3, 4, 5, or 6 dots.

Question

A die is a cube with dots on each face. The faces have 1, 2, 3, 4, 5, or 6 dots. The table below is a computer simulation (from the software package Minitab) of the results of rolling a fair die 20 times. DATA DISPLAY ROW C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 1 5 2 2 2 5 3 2 3 1 4 2 3 2 4 5 4 5 3 5 3 4 (a) Assume that each number in the table corresponds to the number of dots on the upward face of the die. Is it appropriate that the same number appears more than once? Why? No, each distinct number of dots cannot appear on more than one face of the die. Yes, the outcome of the die roll can repeat. Yes, each distinct number of dots can appear on more than one face of the die. No, the outcome of the die roll cannot repeat. What is the outcome of the eighth roll? (b) If we simulate more rolls of the die, do you expect to get the same sequence of outcomes? Why or why not? Yes, because the process is random. Yes, because the process is systematic. No, because the process is systematic. No, because the process is random.

Explanation / Answer

Yes, the outcome of the die roll can repeat

Outcome of the 8th roll is 2

No, because the process is random.

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