WOO logo

On this page

40-Ball Keno

On this page

Introduction

 
instant-keno-40-number

Internet casinos using Gamesys software offer a game called "40-Number Instant Keno." It is like conventional keno, except it uses only 40 numbers and the game draws ten balls instead of twenty.

Ohio Ohio Recommended Online Casinos

View All

UP TO $11,000 BONUS

All US players welcome

Over 200 casino games

Play on PC or Mobile

Play Read Review

UP TO $3000 BONUS

Casino & Sportsbook

American players only

Play on desktop or mobile

Play Read Review

UP TO 777$ BONUS

Large welcome bonus

Daily casino tournaments

Popular games

Play Read Review

300% + 40 Free Spins

Welcome US Players

Special deals for BTC depositors

RTG slots & ViG Live Tables

Play Read Review

Rules

 

The player picks 3 to 10 numbers from 1 to 40 and then the game shall pick 10. The more numbers drawn by the casino that match the player's picks, the more he wins.

The following table shows what each number of catches pays by the number of picks.

Pay Table

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
2 5 2 1 1 0 0 0 0
3 24 10 5 2 2 1 1 0
4   62 25 10 8 4 2 2
5     125 50 25 8 12 8
6       1000 250 250 25 25
7         1000 1000 500 250
8           5000 2500 1250
9             10000 10000
10               20000
 

Analysis

 

The following table shows the number of combinations for each number of picks and catches.

Combination Table

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 4060 27405 142506 593775 2035800 5852925 14307150 30045015
1 4350 40600 274050 1425060 5937750 20358000 58529250 143071500
2 1350 19575 182700 1233225 6412770 26719875 91611000 263381625
3 120 3600 52200 487200 3288600 17100720 71253000 244296000
4   210 6300 91350 852600 5755050 29926260 124692750
5     252 7560 109620 1023120 6906060 35911512
6       210 6300 91350 852600 5755050
7         120 3600 52200 487200
8           45 1350 19575
9             10 300
10               1
Total 9880 91390 658008 3838380 18643560 76904685 273438880 847660528
 

The next table shows the probability, to six decimal points, for each number of picks and catches.

Probability Table

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0.410931 0.299869 0.216572 0.154694 0.109196 0.076106 0.052323 0.035445
1 0.440283 0.44425 0.416484 0.371266 0.318488 0.264717 0.214049 0.168784
2 0.13664 0.214192 0.277656 0.321288 0.343967 0.347441 0.335033 0.310716
3 0.012146 0.039392 0.07933 0.126929 0.176393 0.222363 0.260581 0.288200
4   0.002298 0.009574 0.023799 0.045732 0.074834 0.109444 0.147102
5     0.000383 0.00197 0.00588 0.013304 0.025256 0.042365
6       0.000055 0.000338 0.001188 0.003118 0.006789
7         0.000006 0.000047 0.000191 0.000575
8           0.000001 0.000005 0.000023
9             0.000000 0.000000
10               0.000000
Total 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
 

The next table shows the contribution to the return, to six decimal points, for each number of picks and catches. The bottom row shows the total return for each number of picks.

Return Table

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
2 0.683198 0.428384 0.277656 0.321288 0 0 0 0
3 0.291498 0.393916 0.396652 0.253857 0.352787 0.222363 0.260581 0
4   0.142466 0.239359 0.237991 0.365853 0.299334 0.218888 0.294204
5     0.047872 0.098479 0.146994 0.10643 0.303076 0.338924
6       0.054711 0.08448 0.296959 0.077952 0.169733
7         0.006437 0.046811 0.095451 0.14369
8           0.002926 0.012343 0.028866
9             0.000366 0.003539
10               0.000024
Total 0.974696 0.964766 0.961538 0.966326 0.95655 0.974822 0.968656 0.978980
 

Strategy

 

As you can see in the table above, the greatest return is for the pick-10 at 97.90%.

Written by: Michael Shackleford