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Keno Calculator

Keno Probability, Expected Loss & Hit Frequency Calculator

Compute exact catch probabilities for any spot count, model expected loss over multiple draws, and compare keno’s cost. For education, not as gambling advice.

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SelectedDrawnMatch
Keno Ticket
6-Spot
1917253341
Selected Configuration

6-Spot Keno

$1.00 per draw × 100 draws = $100.00 total action

High Volatility
Total Action
$100.00
Expected Loss (Low)
$20.00
Expected Loss (Mid)
$25.00
Expected Loss (High)
$35.00

Keno house edge typically ranges from 20% to 35% depending on the paytable. Three estimates shown: 20% (optimistic), 25% (typical), 35% (poor paytable).

6-Spot Catch Probabilities

Exact hypergeometric probabilities for each catch level.

Catch 0 of 6

16.6602%
Odds
1 in 6.0
Hit Frequency
16.6602%

Catch 1 of 6

36.3495%
Odds
1 in 2.8
Hit Frequency
36.3495%

Catch 2 of 6

30.8321%
Odds
1 in 3.2
Hit Frequency
30.8321%

Catch 3 of 6

12.9820%
Odds
1 in 7.7
Hit Frequency
12.9820%

Catch 4 of 6

2.8538%
Odds
1 in 35.0
Hit Frequency
2.8538%

Catch 5 of 6

0.3096%
Odds
1 in 323.0
Hit Frequency
0.3096%

Catch 6 of 6

0.0129%
Odds
1 in 7,753
Hit Frequency
0.0129%

Expected Loss Benchmarks

At 25% house edge (typical).

Action
$50.00
Expected Loss
$12.50

Keno costs ~25× more per dollar than well-played blackjack.

Action
$200.00
Expected Loss
$50.00

Keno costs ~25× more per dollar than well-played blackjack.

Action
$500.00
Expected Loss
$125.00

Keno costs ~25× more per dollar than well-played blackjack.

Spot Count Comparison

How volatility and hit frequency change as you add more spots.

1
1-SpotLow
Hit: 25.00% · RTP: 75%
2
2-SpotLow
Hit: 6.01% (2/2) · RTP: 72–76%
3
3-SpotMedium
Hit: 1.39% (3/3) · RTP: 72–76%
4
4-SpotMedium
Hit: 0.31% (4/4) · RTP: 72–76%
5
5-SpotHigh
Hit: 0.064% (5/5) · RTP: 72–76%
6
6-SpotHigh
Hit: 0.013% (6/6) · RTP: 72–76%
8
8-SpotVery High
Hit: 0.00043% (8/8) · RTP: 71–75%
10
10-SpotVery High
Hit: 0.0000012% (10/10) · RTP: 70–75%
House Edge Guide

Why keno payouts lag true odds so heavily.

Expected Value

The formula behind every expected loss result.

Compare Video Poker

Strategy-driven RTP vs pure-chance keno.

Responsible Gaming

This content is for educational purposes only. Gambling involves real financial risk and can be addictive. The house always has a mathematical advantage—there is no guaranteed winning strategy.

Responsible Gaming ResourcesIf you need help: ncpgambling.org (US) or GamCare (UK)