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Genshin Impact Pity Calculator

Exact probabilities, cost estimates, and Monte Carlo simulations for pulling a 5★ in Genshin Impact.

Quick Answers

Key Stats

Soft Pity Starts

Pull 74

39.71% cumulative

50% Chance At

Pull 76

12,160 Primogems

Hard Pity

Pull 90

14,400 Primogems ($237.60)

Guaranteed Featured

180 Pulls

28,800 Primogems ($475.20)

Pity System Breakdown

Base Rate

Soft Pity

Base Rate Pulls 1–73

Standard 0.60% 5★ rate per pull.

0.60%

Soft Pity Pulls 74–89

Rate increases linearly from 6.45% to 94.15%.

6.45% → 94.15%

Hard Pity Pulls 90–90

Guaranteed 5★ — 100% drop rate.

100.00%

50/50 System

First 5★: 50% featured character

If you lose: Next 5★ is guaranteed featured

Worst case: 180 pulls (28,800 Primogems) to guarantee the featured character

Key Milestones

≥10.00% chance

Pull 18

$47.52

≥25.00% chance

Pull 48

$126.72

≥50.00% chance

Pull 76

$200.64

≥75.00% chance

Pull 78

$205.92

≥90.00% chance

Pull 80

$211.20

≥100.00% chance

Pull 90

$237.60

Full Probability Table

Every pull number from 1 to 90, with the individual pull rate, cumulative probability, featured probability, and estimated cost.

Pull #	Rate	P(\u22651 5\u2605)	P(Featured)	Primogems	USD Est.
1	0.60%	0.60%	0.30%	160	$2.64
2	0.60%	1.20%	0.60%	320	$5.28
3	0.60%	1.79%	0.90%	480	$7.92
4	0.60%	2.38%	1.20%	640	$10.56
5	0.60%	2.96%	1.50%	800	$13.20
6	0.60%	3.55%	1.80%	960	$15.84
7	0.60%	4.13%	2.10%	1,120	$18.48
8	0.60%	4.70%	2.40%	1,280	$21.12
9	0.60%	5.27%	2.70%	1,440	$23.76
10	0.60%	5.84%	3.00%	1,600	$26.40
11	0.60%	6.41%	3.30%	1,760	$29.04
12	0.60%	6.97%	3.60%	1,920	$31.68
13	0.60%	7.53%	3.90%	2,080	$34.32
14	0.60%	8.08%	4.20%	2,240	$36.96
15	0.60%	8.63%	4.50%	2,400	$39.60
16	0.60%	9.18%	4.79%	2,560	$42.24
17	0.60%	9.72%	5.09%	2,720	$44.88
18	0.60%	10.27%	5.39%	2,880	$47.52
19	0.60%	10.80%	5.69%	3,040	$50.16
20	0.60%	11.34%	5.99%	3,200	$52.80
21	0.60%	11.87%	6.29%	3,360	$55.44
22	0.60%	12.40%	6.58%	3,520	$58.08
23	0.60%	12.93%	6.88%	3,680	$60.72
24	0.60%	13.45%	7.18%	3,840	$63.36
25	0.60%	13.97%	7.48%	4,000	$66.00
26	0.60%	14.48%	7.77%	4,160	$68.64
27	0.60%	15.00%	8.07%	4,320	$71.28
28	0.60%	15.51%	8.37%	4,480	$73.92
29	0.60%	16.01%	8.66%	4,640	$76.56
30	0.60%	16.52%	8.96%	4,800	$79.20
31	0.60%	17.02%	9.26%	4,960	$81.84
32	0.60%	17.52%	9.55%	5,120	$84.48
33	0.60%	18.01%	9.85%	5,280	$87.12
34	0.60%	18.50%	10.14%	5,440	$89.76
35	0.60%	18.99%	10.44%	5,600	$92.40
36	0.60%	19.48%	10.73%	5,760	$95.04
37	0.60%	19.96%	11.02%	5,920	$97.68
38	0.60%	20.44%	11.32%	6,080	$100.32
39	0.60%	20.92%	11.61%	6,240	$102.96
40	0.60%	21.39%	11.90%	6,400	$105.60
41	0.60%	21.87%	12.20%	6,560	$108.24
42	0.60%	22.33%	12.49%	6,720	$110.88
43	0.60%	22.80%	12.78%	6,880	$113.52
44	0.60%	23.26%	13.07%	7,040	$116.16
45	0.60%	23.72%	13.36%	7,200	$118.80
46	0.60%	24.18%	13.66%	7,360	$121.44
47	0.60%	24.64%	13.95%	7,520	$124.08
48	0.60%	25.09%	14.24%	7,680	$126.72
49	0.60%	25.54%	14.53%	7,840	$129.36
50	0.60%	25.99%	14.82%	8,000	$132.00
51	0.60%	26.43%	15.10%	8,160	$134.64
52	0.60%	26.87%	15.39%	8,320	$137.28
53	0.60%	27.31%	15.68%	8,480	$139.92
54	0.60%	27.75%	15.97%	8,640	$142.56
55	0.60%	28.18%	16.26%	8,800	$145.20
56	0.60%	28.61%	16.54%	8,960	$147.84
57	0.60%	29.04%	16.83%	9,120	$150.48
58	0.60%	29.46%	17.12%	9,280	$153.12
59	0.60%	29.89%	17.40%	9,440	$155.76
60	0.60%	30.31%	17.69%	9,600	$158.40
61	0.60%	30.73%	17.97%	9,760	$161.04
62	0.60%	31.14%	18.26%	9,920	$163.68
63	0.60%	31.55%	18.54%	10,080	$166.32
64	0.60%	31.97%	18.82%	10,240	$168.96
65	0.60%	32.37%	19.11%	10,400	$171.60
66	0.60%	32.78%	19.39%	10,560	$174.24
67	0.60%	33.18%	19.67%	10,720	$176.88
68	0.60%	33.58%	19.95%	10,880	$179.52
69	0.60%	33.98%	20.23%	11,040	$182.16
70	0.60%	34.38%	20.51%	11,200	$184.80
71	0.60%	34.77%	20.79%	11,360	$187.44
72	0.60%	35.16%	21.07%	11,520	$190.08
73	0.60%	35.55%	21.35%	11,680	$192.72
74	6.45%	39.71%	24.35%	11,840	$195.36
75	12.29%	47.12%	29.94%	12,000	$198.00
76	18.14%	56.71%	37.85%	12,160	$200.64
77	23.99%	67.10%	47.57%	12,320	$203.28
78	29.84%	76.91%	58.30%	12,480	$205.92
79	35.68%	85.15%	69.06%	12,640	$208.56
80	41.53%	91.32%	78.83%	12,800	$211.20
81	47.38%	95.43%	86.80%	12,960	$213.84
82	53.22%	97.86%	92.61%	13,120	$216.48
83	59.07%	99.13%	96.34%	13,280	$219.12
84	64.92%	99.69%	98.43%	13,440	$221.76
85	70.76%	99.91%	99.43%	13,600	$224.40
86	76.61%	99.98%	99.83%	13,760	$227.04
87	82.46%	100.00%	99.96%	13,920	$229.68
88	88.31%	100.00%	99.99%	14,080	$232.32
89	94.15%	100.00%	100.00%	14,240	$234.96
90	100.00%	100.00%	100.00%	14,400	$237.60

Monte Carlo Simulator

Run thousands of simulated pull sessions to see the distribution of where players actually get their 5★.

Pull Budget (max #90)

Number of Trials