I came across a game called Pop Up 25 at the Red Rock casino on December 6, 2011. It's a bingo variation that caught my attention.
Rules
This game features a grid displaying numbers from 1 to 25 arranged in a 5 by 5 format.
The player chooses 2 to 5 numbers.
The game randomly chooses 5 numbers.
Players receive payouts based on how many of their chosen numbers align with those drawn during the game.
At the Red Rock casino, this game operates with multiple betting denominations. Typically, in electronic games, higher stakes lead to enhanced odds. In this scenario, there are four distinct pay tables linked to the different betting amounts.
Pay Table 1 — 1¢, 2¢
Pay Table 2 — 5¢, 10¢
Pay Table 3 — 25¢
Pay Table 4 — 50¢, $1
Probabilities
The table below illustrates the likelihood of selecting a specific number of balls based on your chosen numbers.
Probabilities in Pop Up 25
Catch
Pick
2
3
4
5
0
0.633333
0.495652
0.383004
0.291813
1
0.333333
0.413043
0.450593
0.455957
2
0.033333
0.086957
0.150198
0.214568
3
0.004348
0.015810
0.035761
4
0.000395
0.001882
5
0.000019
Total
1.000000
1.000000
1.000000
1.000000
Pay Tables and Returns
The next four tables present the various pay tables for the Red Rock game, with the payouts detailed in the last row of each.