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Keno Payout Table

Target RTP: 88–89%
SpotHit 0Hit 1Hit 2Hit 3Hit 4Hit 5Hit 6Hit 7Hit 8Hit 9Hit 10RTP
1
75.000% × 0.4
25.000% × 2.75
—————————98.75%
2
55.769% × 0
38.462% × 1.8
5.769% × 5.1
————————98.65%
3
41.093% × 0
44.028% × 0
13.664% × 2.8
1.215% × 50
———————98.99%
4
29.987% × 0
44.425% × 0
21.419% × 1.7
3.939% × 10
0.230% × 100
——————98.78%
5
21.657% × 0
41.648% × 0
27.766% × 1.4
7.933% × 4
0.957% × 14
0.038% × 390
—————98.94%
6
15.469% × 0
37.127% × 0
32.129% × 0
12.693% × 3
2.380% × 9
0.197% × 180
5.47e-3% × 710
————98.83%
7
10.920% × 0
31.849% × 0
34.397% × 0
17.639% × 2
4.573% × 7
0.588% × 30
0.034% × 400
6.44e-4% × 800
———98.96%
8
7.611% × 0
26.472% × 0
34.744% × 0
22.236% × 2
7.483% × 4
1.330% × 11
0.119% × 67
4.68e-3% × 400
5.85e-5% × 900
——98.92%
9
5.232% × 0
21.405% × 0
33.503% × 0
26.058% × 2
10.944% × 2.5
2.526% × 5
0.312% × 15
0.019% × 100
4.94e-4% × 500
3.66e-6% × 1000
—98.94%
10
3.544% × 0
16.878% × 0
31.072% × 0
28.820% × 1.6
14.710% × 2
4.237% × 4
0.679% × 7
0.057% × 26
2.31e-3% × 100
3.54e-5% × 500
1.18e-7% × 1000
98.97%
Mathematical principle
Keno is a hypergeometric draw: 10 numbers are drawn from 40, and you pick spot numbers. The probability of exactly hits matches is:
P(hits | spot) = [C(10, hits) · C(30, spot − hits)] / C(40, spot)
Expected return (RTP) for a spot is the probability-weighted sum of payouts:
RTP(spot) = Σ(hits=0..spot) P(hits | spot) · payout[spot][hits]
Where C(n, k) is the binomial coefficient (“n choose k”).