Game Guy's Lucky 7

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Game Guy's Lucky 7
Game Guy's Lucky 7: Mario standing on the second pillar; and above him is a rolling die waiting to be hit. From Mario Party 3.
Appears in Mario Party 3
Type Game Guy’s minigame
Time limit 10 seconds per turn
Music track Game Guy Mini-Game
Music sample

Game Guy's Lucky 7 is a Game Guy minigame in Mario Party 3.

Overview

A rare example of the player's roll higher than the total of Game Guy's rolls in Game Guy's Lucky 7 in Mario Party 3
A rare example of the player's roll being higher than the total of Game Guy's rolls during the minigame

The player and Game Guy each roll a one-through-six Dice Block with the aim of going higher up a staircase with seven steps. If the player rolls a higher number, Game Guy loses, though he gives the player a chance to roll the Dice Block again and land on the top step, making it possible to earn double the Coins but at the risk of losing all of their Coins if they roll a number higher than the steps remaining. The player wins if they land either on a higher step than Game Guy or on the same one as him. If the player ends on the seventh step, they receive ten times the number of Coins.

Expected value

Let B be the number of coins bet, P be the player's roll, and G be Game Guy's roll. There are four possible sets of outcomes, based on who rolls once or twice.

Player rolls once Player rolls twice
Game Guy rolls once
P = 1
1/6
P = 2
1/6
P = 3
1/6
P = 4
1/6
P = 5
1/6
P = 6
1/6
G = 1
1/6
×2 ×2 ×2 ×2 ×2 ×2
G = 2
1/6
×0 ×2 ×2 ×2 ×2 ×2
G = 3
1/6
×0 ×0 ×2 ×2 ×2 ×2
G = 4
1/6
×0 ×0 ×0 ×2 ×2 ×2
G = 5
1/6
×0 ×0 ×0 ×0 ×2 ×2
G = 6
1/6
×0 ×0 ×0 ×0 ×0 ×2

The total expected value is ≈ 1.17B.

P = 2
1/36
P = 3
2/36
P = 4
3/36
P = 5
4/36
P = 6
5/36
P = 7
6/36
P >= 8
15/36
G = 1
1/6
×2 ×2 ×2 ×2 ×2 ×10 ×0
G = 2
1/6
×2 ×2 ×2 ×2 ×2 ×10 ×0
G = 3
1/6
×0 ×2 ×2 ×2 ×2 ×10 ×0
G = 4
1/6
×0 ×0 ×2 ×2 ×2 ×10 ×0
G = 5
1/6
×0 ×0 ×0 ×2 ×2 ×10 ×0
G = 6
1/6
×0 ×0 ×0 ×0 ×2 ×10 ×0

The total expected value is ≈ 2.31B.

Game Guy rolls twice
P = 1
1/6
P = 2
1/6
P = 3
1/6
P = 4
1/6
P = 5
1/6
P = 6
1/6
G = 2
1/36
×0 ×2 ×2 ×2 ×2 ×2
G = 3
2/36
×0 ×0 ×2 ×2 ×2 ×2
G = 4
3/36
×0 ×0 ×0 ×2 ×2 ×2
G = 5
4/36
×0 ×0 ×0 ×0 ×2 ×2
G = 6
5/36
×0 ×0 ×0 ×0 ×0 ×2
G = 7
6/36
×0 ×0 ×0 ×0 ×0 ×0
G >= 8
15/36
×2 ×2 ×2 ×2 ×2 ×2

The total expected value is ≈ 1.16B.

P = 2
1/36
P = 3
2/36
P = 4
3/36
P = 5
4/36
P = 6
5/36
P = 7
6/36
P >= 8
15/36
G = 2
1/36
×2 ×2 ×2 ×2 ×2 ×10 ×0
G = 3
2/36
×0 ×2 ×2 ×2 ×2 ×10 ×0
G = 4
3/36
×0 ×0 ×2 ×2 ×2 ×10 ×0
G = 5
4/36
×0 ×0 ×0 ×2 ×2 ×10 ×0
G = 6
5/36
×0 ×0 ×0 ×0 ×2 ×10 ×0
G = 7
6/36
×0 ×0 ×0 ×0 ×0 ×10 ×0
G >= 8
15/36
×2 ×2 ×2 ×2 ×2 ×10 ×0

The total expected value is ≈ 2.23B.

Due to the house losing ties, the player makes a long-term profit in all scenarios. While Game Guy's exact logic for deciding whether to roll again is unknown, whether he does or not matters little in terms of expected value. Naturally, the player rolling twice is a big boost to expected value, as the added chance of ×10 has a much bigger impact than the potential ×0, though if the player is merely trying to win, the second roll should be made only if necessary.

In addition, as the in-game limit of coins is 999, the expected value drops once the bet reaches 100 coins (as rolling a 7 results in only 999 instead of 1,000), and it drops further as more coins are bet.

Controls

  • A Button – Roll Dice Block

In-game text

  • Game Guy"Hit the Dice Block, then climb up that many steps. You can hit the die once or twice. If you climb higher than me or stop on the same step as me, I'll double your coins! But if you stop below me, or if you fall off the stairway, I'll get to keep all of your coins. However! If you land exactly on the seventh step, your coins will increase tenfold!"

Gallery

Names in other languages

Language Name Meaning Notes
Japanese ねらえ!ぴったり7[?]
Nerae! Pittari Sebun
Aim for the Lucky 7!
French Le 7 de Maskash[?] Game Guy's 7
German Glücks Guys Verflixte 7[?] Game Guy's dratted 7
Spanish 7 de la Suerte de Shy Guy[?] Game Guy's Lucky 7

Notes

  • It is Game Guy's "personal favorite" minigame.