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Pop Up 25

Introduction

Pop Up 25 is a bingo game I noticed at the Red Rock casino on December 6, 2011.

 

 

Rules

  1. The game board consists of the number 1 to 25 in a 5 by 5 matrix.
  2. The player chooses 2 to 5 numbers.
  3. The game randomly chooses 5 numbers.
  4. The player is paid according to how many of his picks match the numbers drawn by the game.

 

The Red Rock game was multi-denomination. As usual with electronic games, the more you bet, the better the odds. In this case there were four different pay tables, associated with the denomination bet as follows:

 

  • Pay Table 1 — 1¢, 2¢
  • Pay Table 2 — 5¢, 10¢
  • Pay Table 3 — 25¢
  • Pay Table 4 — 50¢, $1

 

 

Probabilities

The following table shows the probability of catching any given number of balls according to the number picked.

 

 

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 following four tables show the four Red Rock pay tables. The return for each pay table is in the bottom row.

 

 

Pay Table 1

Catch Pick
2 3 4 5
0 0 0 0 0
1 2 1 1 0
2 7 4 2 2
3   30 6 11
4     125 40
5       200
Return 90.00% 89.13% 89.53% 90.16%

 

 

Pay Table 2

Catch Pick
2 3 4 5
0 0 0 0 0
1 2 1 1 0
2 7 5 2 2
3   14 8 12
4     85 26
5       200
Return 90.00% 90.87% 91.11% 91.10%

 

 

Pay Table 3

Catch Pick
2 3 4 5
0 0 0 0 0
1 2 1 1 0
2 7 5 2 2
3   17 9 12
4     75 34
5       200
Return 90.00% 92.17% 92.29% 92.60%

 

 

Pay Table 4

Catch Pick
2 3 4 5
0 0 0 0 0
1 2 1 1 0
2 8 5 2 2
3   22 11 12
4     50 43
5       225
Return 93.33% 94.35% 94.47% 94.34%

 

Written by: Michael Shackleford