Datasets:
| from fractions import Fraction | |
| from itertools import permutations | |
| balls = [("R", i) for i in range(4)] + [("B", i) for i in range(3)] | |
| pairs = list(permutations(balls, 2)) | |
| eligible = [p for p in pairs if any(ball[0] == "B" for ball in p)] | |
| favourable = [p for p in eligible if p[0][0] == "R"] | |
| assert len(pairs) == 42 | |
| result = {"conditional_probability": str(Fraction(len(favourable), len(eligible))), | |
| "eligible_pairs": len(eligible), "favourable_pairs": len(favourable)} | |
| import json | |
| print(json.dumps(result, ensure_ascii=False, sort_keys=True)) | |