There are four pieces of bubble gum left in a quarter machine. Two are red and two are yellow. Chandra puts two quarters in the machine. One piece is for her and one is for her friend, Kay. If the two pieces are the same color, she's happy because they won't have to decide who gets what color. Chandra claims that they are equally likely to get the same color because the colors are either the same or they are different. Check her claim by doing a simulation.

1.If you were to perform 50 trials, describe some possible results.

2/50

In each trial, Chandra and Kay will choose a piece of bubble gum from the quarter machine. Based on the information provided, there are two red and two yellow bubble gums.

Here are some possible results for 50 trials:

1. Trial 1: Chandra gets a red gum and Kay gets a yellow gum.
2. Trial 2: Chandra gets a yellow gum and Kay gets a red gum.
3. Trial 3: Chandra gets a red gum and Kay gets a red gum.
4. Trial 4: Chandra gets a yellow gum and Kay gets a yellow gum.
5. Trial 5: Chandra gets a yellow gum and Kay gets a red gum.
6. Trial 6: Chandra gets a red gum and Kay gets a yellow gum.
7. Trial 7: Chandra gets a yellow gum and Kay gets a yellow gum.
8. Trial 8: Chandra gets a red gum and Kay gets a red gum.
9. Trial 9: Chandra gets a yellow gum and Kay gets a yellow gum.
10. Trial 10: Chandra gets a red gum and Kay gets a yellow gum.
11. Trial 11: Chandra gets a yellow gum and Kay gets a red gum.
12. Trial 12: Chandra gets a red gum and Kay gets a yellow gum.
13. Trial 13: Chandra gets a yellow gum and Kay gets a red gum.
14. Trial 14: Chandra gets a red gum and Kay gets a red gum.
15. Trial 15: Chandra gets a yellow gum and Kay gets a yellow gum.
16. Trial 16: Chandra gets a yellow gum and Kay gets a red gum.
17. Trial 17: Chandra gets a red gum and Kay gets a yellow gum.
18. Trial 18: Chandra gets a yellow gum and Kay gets a yellow gum.
19. Trial 19: Chandra gets a red gum and Kay gets a red gum.
20. Trial 20: Chandra gets a yellow gum and Kay gets a red gum.
21. Trial 21: Chandra gets a red gum and Kay gets a yellow gum.
22. Trial 22: Chandra gets a yellow gum and Kay gets a yellow gum.
23. Trial 23: Chandra gets a red gum and Kay gets a red gum.
24. Trial 24: Chandra gets a yellow gum and Kay gets a red gum.
25. Trial 25: Chandra gets a red gum and Kay gets a yellow gum.
26. Trial 26: Chandra gets a yellow gum and Kay gets a red gum.
27. Trial 27: Chandra gets a red gum and Kay gets a red gum.
28. Trial 28: Chandra gets a yellow gum and Kay gets a yellow gum.
29. Trial 29: Chandra gets a yellow gum and Kay gets a red gum.
30. Trial 30: Chandra gets a red gum and Kay gets a yellow gum.
31. Trial 31: Chandra gets a yellow gum and Kay gets a yellow gum.
32. Trial 32: Chandra gets a red gum and Kay gets a red gum.
33. Trial 33: Chandra gets a yellow gum and Kay gets a red gum.
34. Trial 34: Chandra gets a red gum and Kay gets a yellow gum.
35. Trial 35: Chandra gets a yellow gum and Kay gets a yellow gum.
36. Trial 36: Chandra gets a red gum and Kay gets a red gum.
37. Trial 37: Chandra gets a yellow gum and Kay gets a red gum.
38. Trial 38: Chandra gets a red gum and Kay gets a yellow gum.
39. Trial 39: Chandra gets a yellow gum and Kay gets a yellow gum.
40. Trial 40: Chandra gets a red gum and Kay gets a red gum.
41. Trial 41: Chandra gets a yellow gum and Kay gets a red gum.
42. Trial 42: Chandra gets a red gum and Kay gets a yellow gum.
43. Trial 43: Chandra gets a yellow gum and Kay gets a yellow gum.
44. Trial 44: Chandra gets a red gum and Kay gets a red gum.
45. Trial 45: Chandra gets a yellow gum and Kay gets a red gum.
46. Trial 46: Chandra gets a red gum and Kay gets a yellow gum.
47. Trial 47: Chandra gets a yellow gum and Kay gets a yellow gum.
48. Trial 48: Chandra gets a red gum and Kay gets a red gum.
49. Trial 49: Chandra gets a yellow gum and Kay gets a red gum.
50. Trial 50: Chandra gets a red gum and Kay gets a yellow gum.

The results may vary with different combinations of red and yellow gum pieces being selected by Chandra and Kay in each trial.

To perform a simulation, we can simulate the process of Chandra and Kay picking bubble gum pieces 50 times. Here are some possible results after performing 50 trials:

1. Trial 1: Chandra and Kay both pick a red piece.
2. Trial 2: Chandra and Kay both pick a yellow piece.
3. Trial 3: Chandra picks a red piece, and Kay picks a yellow piece.
4. Trial 4: Chandra picks a yellow piece, and Kay picks a red piece.
5. Trial 5: Chandra and Kay both pick a red piece.
6. Trial 6: Chandra and Kay both pick a yellow piece.
7. Trial 7: Chandra picks a red piece, and Kay picks a yellow piece.
8. Trial 8: Chandra picks a yellow piece, and Kay picks a red piece.
9. Trial 9: Chandra and Kay both pick a yellow piece.
10. Trial 10: Chandra and Kay both pick a red piece.
11. Trial 11: Chandra picks a yellow piece, and Kay picks a red piece.
12. Trial 12: Chandra picks a red piece, and Kay picks a yellow piece.
13. Trial 13: Chandra and Kay both pick a yellow piece.
14. Trial 14: Chandra and Kay both pick a red piece.
15. Trial 15: Chandra picks a yellow piece, and Kay picks a red piece.
16. Trial 16: Chandra picks a red piece, and Kay picks a yellow piece.
17. Trial 17: Chandra and Kay both pick a red piece.
18. Trial 18: Chandra and Kay both pick a yellow piece.
19. Trial 19: Chandra picks a yellow piece, and Kay picks a red piece.
20. Trial 20: Chandra picks a red piece, and Kay picks a yellow piece.
21. Trial 21: Chandra and Kay both pick a yellow piece.
22. Trial 22: Chandra and Kay both pick a red piece.
23. Trial 23: Chandra picks a yellow piece, and Kay picks a red piece.
24. Trial 24: Chandra picks a red piece, and Kay picks a yellow piece.
25. Trial 25: Chandra and Kay both pick a red piece.
26. Trial 26: Chandra and Kay both pick a yellow piece.
27. Trial 27: Chandra picks a red piece, and Kay picks a yellow piece.
28. Trial 28: Chandra picks a yellow piece, and Kay picks a red piece.
29. Trial 29: Chandra and Kay both pick a yellow piece.
30. Trial 30: Chandra and Kay both pick a red piece.
31. Trial 31: Chandra picks a yellow piece, and Kay picks a red piece.
32. Trial 32: Chandra picks a red piece, and Kay picks a yellow piece.
33. Trial 33: Chandra and Kay both pick a red piece.
34. Trial 34: Chandra and Kay both pick a yellow piece.
35. Trial 35: Chandra picks a red piece, and Kay picks a yellow piece.
36. Trial 36: Chandra picks a yellow piece, and Kay picks a red piece.
37. Trial 37: Chandra and Kay both pick a yellow piece.
38. Trial 38: Chandra and Kay both pick a red piece.
39. Trial 39: Chandra picks a yellow piece, and Kay picks a red piece.
40. Trial 40: Chandra picks a red piece, and Kay picks a yellow piece.
41. Trial 41: Chandra and Kay both pick a red piece.
42. Trial 42: Chandra and Kay both pick a yellow piece.
43. Trial 43: Chandra picks a red piece, and Kay picks a yellow piece.
44. Trial 44: Chandra picks a yellow piece, and Kay picks a red piece.
45. Trial 45: Chandra and Kay both pick a yellow piece.
46. Trial 46: Chandra and Kay both pick a red piece.
47. Trial 47: Chandra picks a yellow piece, and Kay picks a red piece.
48. Trial 48: Chandra picks a red piece, and Kay picks a yellow piece.
49. Trial 49: Chandra and Kay both pick a red piece.
50. Trial 50: Chandra and Kay both pick a yellow piece.

These are just examples, and the actual results may vary. By performing many trials, we can gather more data to assess Chandra's claim.