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LAB \#3 for MATH 1650
Chapter 4
1. Dice simulation Simulate 1000 rolls of two 6-sided dice. Count the number of times that the total was exactly 8 .
Enter the answer here:
139
Based on your answer, what is the probability of getting an 8 when two dice are rolled?
How does this probability compare to the classical probability of $0.139 ?$

Step 1 ：Simulate 1000 rolls of two 6-sided dice and count the number of times that the total was exactly 8. The result is 139.

Step 2 ：Calculate the probability of getting an 8 when two dice are rolled. The probability is calculated by dividing the number of successful outcomes (getting a sum of 8) by the total number of outcomes (1000 rolls). The formula is \(\frac{success}{total}\).

Step 3 ：Substitute the values into the formula: \(\frac{139}{1000} = 0.139\).

Step 4 ：The probability of getting an 8 when two dice are rolled, based on the simulation, is \(0.139\).

Step 5 ：Compare this probability to the classical probability of 0.139. Since the calculated probability is exactly 0.139, it matches the classical probability perfectly.

Step 6 ：Final Answer: The probability of getting an 8 when two dice are rolled, based on the simulation, is \(\boxed{0.139}\). This matches the classical probability of \(\boxed{0.139}\).