Game Guy's Roulette: Difference between revisions
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==Expected value== | ==Expected value== | ||
Let B be the number of coins bet and observe that there are 21 slots on the roulette wheel. The following table shows the EV for each area the player can choose. | Let ''B'' be the number of coins bet and observe that there are 21 slots on the roulette wheel. The following table shows the EV for each area the player can choose. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 27: | Line 27: | ||
! Bet on !! Expected value | ! Bet on !! Expected value | ||
|- | |- | ||
| [[File:Koopa Game Guy's Roulette icon.png|44px]] || | | [[File:Koopa Game Guy's Roulette icon.png|44px]] || 2''B'' × 2/7 = 12''B''/21 ≈ '''0.5714''B''''' | ||
|- | |- | ||
| [[File:Bob-omb Game Guy's Roulette icon.png|44px]] || | | [[File:Bob-omb Game Guy's Roulette icon.png|44px]] || 4''B'' × 5/21 = 20''B''/21 ≈ '''0.9524''B''''' | ||
|- | |- | ||
| [[File:Goomba Game Guy's Roulette icon.png|44px]] || | | [[File:Goomba Game Guy's Roulette icon.png|44px]] || 8''B'' × 4/21 = 32''B''/21 ≈ '''1.5238''B''''' | ||
|- | |- | ||
| [[File:Boo Game Guy's Roulette icon.png|44px]] || | | [[File:Boo Game Guy's Roulette icon.png|44px]] || 16''B'' × 1/7 = 48''B''/21 ≈ '''2.2857''B''''' | ||
|- | |- | ||
| [[File:Toad Game Guy's Roulette icon.png|44px]] || | | [[File:Toad Game Guy's Roulette icon.png|44px]] || 32''B'' × 2/21 = 64''B''/21 ≈ '''3.0476''B''''' | ||
|- | |- | ||
| [[File:Game Guy Game Guy's Roulette icon.png|44px]] || | | [[File:Game Guy Game Guy's Roulette icon.png|44px]] || 64''B'' × 1/21 = 64''B''/21 ≈ '''3.0476''B''''' | ||
|} | |} | ||
Revision as of 10:26, August 29, 2023
| Game Guy's Roulette | |||
|---|---|---|---|
| |||
| Appears in | Mario Party 3 | ||
| Type | Game Guy mini-game | ||
| Time limit | 10 seconds to select a roulette space | ||
| Music track | Game Guy Mini-Game | ||
| |||
Game Guy's Roulette is a Game Guy minigame found in Mario Party 3.
Gameplay
The player attempts to choose which area on the roulette wheel the Red Shell will spin into, with smaller areas being worth more coins. After the player chooses an area, Game Guy spins the shell around the roulette. If the shell spins into the area the player chose, their coins are multiplied by the number listed next to their choice. However, if the shell spins into a different area from the area the player chose, the player loses all of their coins.
Spaces on the roulette
- The green Koopa Troopa area contains six slots on the roulette wheel and doubles the player's coins.
- The dark-blue Bob-omb area contains five slots on the roulette wheel and multiplies the player's coins by four.
- The brown Goomba area contains four slots on the roulette wheel and multiplies the player's coins by eight.
- The light-blue Boo area contains three slots on the roulette wheel and multiplies the player's coins by 16.
- The pink Toad area contains two slots on the roulette wheel and multiplies the player's coins by 32.
- The red area directly in front of Game Guy contains just one slot on the roulette wheel and multiplies the player's coins by 64.
Expected value
Let B be the number of coins bet and observe that there are 21 slots on the roulette wheel. The following table shows the EV for each area the player can choose.
| Bet on | Expected value |
|---|---|
 |
2B × 2/7 = 12B/21 ≈ 0.5714B |
 |
4B × 5/21 = 20B/21 ≈ 0.9524B |
 |
8B × 4/21 = 32B/21 ≈ 1.5238B |
 |
16B × 1/7 = 48B/21 ≈ 2.2857B |
 |
32B × 2/21 = 64B/21 ≈ 3.0476B |
| File:Game Guy Game Guy's Roulette icon.png | 64B × 1/21 = 64B/21 ≈ 3.0476B |
Although betting on Koopa Troopa is most likely to earn the player coins in a single minigame, constantly betting on Koopa Troopa makes the player most likely to lose coins in the long run. On the other hand, constantly betting on Toad or Game Guy makes the player more likely to triple their coins in the long run.
In-game text
- Game Guy – "Place your bet, then make your guess. If the shell stops in the area you chose, your coins will increase according to the odds. If the shell lands in another area, your coins will be mine."
Gallery
Roulette tokens
Character icons
Koopa Troopa
Bob-omb
Goomba
Boo
Toad
- Game Guy Game Guy's Roulette icon.png
Game Guy
Names in other languages
| Language | Name | Meaning | Notes |
|---|---|---|---|
| Japanese | ヘイホールーレット[?] Heihō rūretto |
Shy Guy Roulette | |
| German | Glücks Guy[?] | Gambling Guy |
