Created
August 12, 2025 17:28
-
-
Save iitalics/2a608b7998ff08489f0b856e2e1960ed to your computer and use it in GitHub Desktop.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| # expected rate to get n drops | |
| def true_exp(n): | |
| if n <= 0: | |
| return 0 | |
| p_2 = 1/100 # 2 drops | |
| p_1 = 18/100 # 1 drop | |
| p_0 = 81/100 # 0 drops | |
| # E_n = 1 + p_2 E_(n-2) + p_1 E_(n-1) + p_0 E_n | |
| # (1 - p_0) E_n = 1 + p_2 E_(n-2) + p_1 E_(n-1) | |
| # E_n = (1 + p_2 E_(n-2) + p_1 E_(n-1)) / (1 - p_0) | |
| e_2 = true_exp(n - 2) | |
| e_1 = true_exp(n - 1) | |
| return (1 + p_2 * e_2 + p_1 * e_1) / (1 - p_0) | |
| print(true_exp(10)) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment