In [8]:
days = 365.0
In [16]:
print 'Probability of no two people sharing a single birthday in a group of N people:'
prob_no_share = 1.0
for n in range(100):
prob_no_share *= (days - n) / days
print 'N = {:3d}: {:7.2%}'.format(n + 1, prob_no_share)
Probability of no two people sharing a single birthday in a group of N people:
N = 1: 100.00%
N = 2: 99.73%
N = 3: 99.18%
N = 4: 98.36%
N = 5: 97.29%
N = 6: 95.95%
N = 7: 94.38%
N = 8: 92.57%
N = 9: 90.54%
N = 10: 88.31%
N = 11: 85.89%
N = 12: 83.30%
N = 13: 80.56%
N = 14: 77.69%
N = 15: 74.71%
N = 16: 71.64%
N = 17: 68.50%
N = 18: 65.31%
N = 19: 62.09%
N = 20: 58.86%
N = 21: 55.63%
N = 22: 52.43%
N = 23: 49.27%
N = 24: 46.17%
N = 25: 43.13%
N = 26: 40.18%
N = 27: 37.31%
N = 28: 34.55%
N = 29: 31.90%
N = 30: 29.37%
N = 31: 26.95%
N = 32: 24.67%
N = 33: 22.50%
N = 34: 20.47%
N = 35: 18.56%
N = 36: 16.78%
N = 37: 15.13%
N = 38: 13.59%
N = 39: 12.18%
N = 40: 10.88%
N = 41: 9.68%
N = 42: 8.60%
N = 43: 7.61%
N = 44: 6.71%
N = 45: 5.90%
N = 46: 5.17%
N = 47: 4.52%
N = 48: 3.94%
N = 49: 3.42%
N = 50: 2.96%
N = 51: 2.56%
N = 52: 2.20%
N = 53: 1.89%
N = 54: 1.61%
N = 55: 1.37%
N = 56: 1.17%
N = 57: 0.99%
N = 58: 0.83%
N = 59: 0.70%
N = 60: 0.59%
N = 61: 0.49%
N = 62: 0.41%
N = 63: 0.34%
N = 64: 0.28%
N = 65: 0.23%
N = 66: 0.19%
N = 67: 0.16%
N = 68: 0.13%
N = 69: 0.10%
N = 70: 0.08%
N = 71: 0.07%
N = 72: 0.05%
N = 73: 0.04%
N = 74: 0.04%
N = 75: 0.03%
N = 76: 0.02%
N = 77: 0.02%
N = 78: 0.01%
N = 79: 0.01%
N = 80: 0.01%
N = 81: 0.01%
N = 82: 0.01%
N = 83: 0.00%
N = 84: 0.00%
N = 85: 0.00%
N = 86: 0.00%
N = 87: 0.00%
N = 88: 0.00%
N = 89: 0.00%
N = 90: 0.00%
N = 91: 0.00%
N = 92: 0.00%
N = 93: 0.00%
N = 94: 0.00%
N = 95: 0.00%
N = 96: 0.00%
N = 97: 0.00%
N = 98: 0.00%
N = 99: 0.00%
N = 100: 0.00%
In [ ]:
Content source: chbrown/sandbox
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