Roll the number cubes 30 times. Keep track of each outcome in a list or on a table. (6 points possible) (You are only listing the two numbers you rolled, do NOT add the numbers together, just list them).
What was your experimental probability of rolling a 6 on at least one number cube? Write your answer as a FRACTION, DECIMAL, and PERCENT (3 points possible) (Show all Work) Hint: Highlight each roll that had at least one 6 in the outcome to help you identify “favorable” events.
Fraction:
Decimal:
Percent:
Suppose you rolled the two number cubes 100 times, how do you think your data might change? Explain. (3 points possible)
Number Cube Rolls:
1. 3, 5
2. 1, 6
3. 2, 4
4. 6, 2
5. 4, 5
6. 6, 6
7. 3, 1
8. 2, 6
9. 5, 3
10. 4, 1
11. 6, 3
12. 2, 1
13. 5, 1
14. 3, 6
15. 1, 4
16. 6, 4
17. 2, 5
18. 4, 2
19. 3, 3
20. 1, 5
21. 6, 5
22. 4, 4
23. 5, 2
24. 1, 2
25. 2, 3
26. 6, 1
27. 4, 6
28. 5, 4
29. 2, 2
30. 3, 4
Experimental probability of rolling a 6 on at least one number cube:
There are 30 total rolls and the outcomes with at least one 6 are:
2. 1, 6
4. 6, 2
6. 6, 6
8. 2, 6
11. 6, 3
14. 3, 6
16. 6, 4
21. 6, 5
26. 6, 1
27. 4, 6
There are 9 "favorable" outcomes.
Fraction: 9/30 = 3/10
Decimal: 3/10 = 0.3
Percent: 0.3 * 100 = 30%
If the number cubes were rolled 100 times, the experimental probability of rolling a 6 would tend to get closer to the theoretical probability of 1/6 or approximately 16.67%. This is because as the number of trials increases, the experimental probability tends to converge towards the true probability. More rolls would result in a more accurate representation of the likelihood of rolling a 6 on at least one number cube.