Yes i can give you example ...

Assume you get singles and series of two then you only count the singles

RBBRBRBRRBBRBRBRRBBB here you have nine singles and one serie of three 2.58 SD

I can show you the formula how to calculate the SD using math calculation - it is very easy

Bayes use the Z-Score and is the same thing and i made a chart for the values - so you can skip that part

1. Z-Score 0,02 - 1 singles contra 1 serie of three

2. Z-Score 0,73 - 2 singles contra 1 serie of three

3. Z-Score 1,18 - 3 singles contra 1 serie of three

4. Z-Score 1,53 - 4 singles contra 1 serie of three

5. Z-Score 1,82 - 5 singles contra 1 serie of three

6. Z-Score 2,07 - 6 singles contra 1 serie of three

7. Z-Score 2,30 - 7 singles contra 1 serie of three

8. Z-Score 2,51 - 8 singles contra 1 serie of three

9. Z-Score 2.58 9 singles contra 1 serie of three

10. Z-Score 2,70 - 10 singles contra 1 serie of three

11. Z-Score 2,89 - 11 singles contra 1 serie of three

12. Z-Score 3,06 - 12 singles contra 1 serie of three

13. Z-Score 3,22 - 13 singles contra 1 serie of three

14. Z-Score 3,37 - 14 singles contra 1 serie of three

15. Z-Score 3,52 - 15 singles contra 1 serie of three

16. Z-Score 3,66 - 16 singles contra 1 serie of three

17. Z-Score 3,80 - 17 singles contra 1 serie of three

18. Z-Score 3,93 - 18 singles contra 1 serie of three

19. Z-Score 4,06 - 19 singles contra 1 serie of three

20. Z-Score 4,18 - 20 singles contra 1 serie of three

21. Z-Score 4,30 - 21 singles contra 1 serie of three

22. Z-Score 4,42 - 22 singles contra 1 serie of three

23. Z-Score 4,53 - 23 singles contra 1 serie of three

24. Z-Score 4,64 - 24 singles contra 1 serie of three

25. Z-Score 4,75 - 25 singles contra 1 serie of three

26. Z-Score 4,86 - 26 singles contra 1 serie of three

27. Z-Score 4,96 - 27 singles contra 1 serie of three

28. Z-Score 5,07 - 28 singles contra 1 serie of three

29. Z-Score 5,17 - 29 singles contra 1 serie of three

30. Z-Score 5,26 - 30 singles contra 1 serie of three

31. Z-Score 5,36 - 31 singles contra 1 serie of three

32. Z-Score 5,45 - 32 singles contra 1 serie of three

33. Z-Score 5,55 - 33 singles contra 1 serie of three

34. Z-Score 5,64 - 34 singles contra 1 serie of three

35. Z-Score 5,73 - 35 singles contra 1 serie of three

36. Z-Score 5,82 - 36 singles contra 1 serie of three

37. Z-Score 5,90 - 37 singles contra 1 serie of three

38. Z-Score 5,99 - 38 singles contra 1 serie of three

39. Z-Score 6,07 - 39 singles contra 1 serie of three

Here is the result from 300 trails using red and black:

At left side you have how many singles hit before a serie of three show and at the right side the SD value:

1 SD 0.02

3 SD 1.18

0 SD 0.00

2 SD 0.73

8 SD 2.51

2 SD 0.73

5 SD 1.82

0 SD 0.00

1 SD 0.02

2 SD 0.73

5 SD 1.82

0 SD 0.00

3 SD 1.18

3 SD 1.18

4 SD 1.53

1 SD 0.02

1 SD 0.02

2 SD 0.73

0 SD 0.00

8 SD 2.51

2 SD 0.73

2 SD 0.73

2 SD 0.73

3 SD 1.18

6 SD 2.07

0 SD 0.00

1 SD 0.02

5 SD 1.82

0 SD 0.00

0 SD 0.00

6 SD 2.07

2 SD 0.73

1 SD 0.02