Editing Game Guy's Lucky 7

{{minigame infobox
|image=[[File:MP3 Game Guys Lucky 7.png|260px]]
|appears_in=''[[Mario Party 3]]''
|type=Game Guy mini-game
|time=10 seconds per turn
|track=Game Guy Mini-Game
|sample=[[File:Mario Party 3 Music - Game Guy Mini-Game.oga]]
}}
'''Game Guy's Lucky 7''' is a Game Guy [[minigame]] found in ''[[Mario Party 3]]''. [[Game Guy]] cites this minigame as his "personal favorite."

==Gameplay==
The object of the game is to get higher on the staircase than Game Guy by rolling a one-through-six [[Dice Block]]. After rolling once, both the player and Game Guy have the option to roll a second time. The staircase has only seven steps. If the player ends up on a lower step than Game Guy or overshoots the top of the stairs, they lose all of their [[coin]]s. However, if the player lands on a higher step than or the same step as Game Guy, or he overshoots the top and the player does not, their coins are doubled. If the player manages to land exactly on the top step, their coin total is automatically multiplied by ten regardless of Game Guy's position.

[[File:MP3 GGL7 higher roll.png|thumb|right|A rare example of the player's roll being higher than the total of Game Guy's rolls during the minigame]]
If the player's first roll is higher than the combined total of Game Guy's rolls, he admits that he lost but then offers the player a chance to roll the Dice Block again and land on the top step. The player then has the option to agree or disagree. If they agree, they have the opportunity to earn more coins, but they risk losing them all. If they disagree, they keep their current winnings.

==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.

{|class="wikitable"
! !!Player rolls once!!Player rolls twice
|-
!Game Guy rolls once
|
{|class="wikitable"
! !!P = 1<br>1/6!!P = 2<br>1/6!!P = 3<br>1/6!!P = 4<br>1/6!!P = 5<br>1/6!!P = 6<br>1/6
|-
!G = 1<br>1/6
|×2||×2||×2||×2||×2||×2
|-
!G = 2<br>1/6
|×0||×2||×2||×2||×2||×2
|-
!G = 3<br>1/6
|×0||×0||×2||×2||×2||×2
|-
!G = 4<br>1/6
|×0||×0||×0||×2||×2||×2
|-
!G = 5<br>1/6
|×0||×0||×0||×0||×2||×2
|-
!G = 6<br>1/6
|×0||×0||×0||×0||×0||×2
|}
The total expected value is ≈ '''1.17''B'''''.
|
{|class="wikitable"
! !!P = 2<br>1/36!!P = 3<br>2/36!!P = 4<br>3/36!!P = 5<br>4/36!!P = 6<br>5/36!!P = 7<br>6/36!!P >= 8<br>15/36
|-
!G = 1<br>1/6
|×2||×2||×2||×2||×2||×10||×0
|-
!G = 2<br>1/6
|×2||×2||×2||×2||×2||×10||×0
|-
!G = 3<br>1/6
|×0||×2||×2||×2||×2||×10||×0
|-
!G = 4<br>1/6
|×0||×0||×2||×2||×2||×10||×0
|-
!G = 5<br>1/6
|×0||×0||×0||×2||×2||×10||×0
|-
!G = 6<br>1/6
|×0||×0||×0||×0||×2||×10||×0
|}
The total expected value is ≈ '''2.31''B'''''.
|-
!Game Guy rolls twice
|
{|class="wikitable"
! !!P = 1<br>1/6!!P = 2<br>1/6!!P = 3<br>1/6!!P = 4<br>1/6!!P = 5<br>1/6!!P = 6<br>1/6
|-
!G = 2<br>1/36
|×0||×2||×2||×2||×2||×2
|-
!G = 3<br>2/36
|×0||×0||×2||×2||×2||×2
|-
!G = 4<br>3/36
|×0||×0||×0||×2||×2||×2
|-
!G = 5<br>4/36
|×0||×0||×0||×0||×2||×2
|-
!G = 6<br>5/36
|×0||×0||×0||×0||×0||×2
|-
!G = 7<br>6/36
|×0||×0||×0||×0||×0||×0
|-
!G >= 8<br>15/36
|×2||×2||×2||×2||×2||×2
|}
The total expected value is ≈ '''1.16''B'''''.
|
{|class="wikitable"
! !!P = 2<br>1/36!!P = 3<br>2/36!!P = 4<br>3/36!!P = 5<br>4/36!!P = 6<br>5/36!!P = 7<br>6/36!!P >= 8<br>15/36
|-
!G = 2<br>1/36
|×2||×2||×2||×2||×2||×10||×0
|-
!G = 3<br>2/36
|×0||×2||×2||×2||×2||×10||×0
|-
!G = 4<br>3/36
|×0||×0||×2||×2||×2||×10||×0
|-
!G = 5<br>4/36
|×0||×0||×0||×2||×2||×10||×0
|-
!G = 6<br>5/36
|×0||×0||×0||×0||×2||×10||×0
|-
!G = 7<br>6/36
|×0||×0||×0||×0||×0||×10||×0
|-
!G >= 8<br>15/36
|×2||×2||×2||×2||×2||×10||×0
|}
The total expected value is ≈ '''2.23''B'''''.
|}

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.

==Strategy==
{{rewrite-expand|should be an "expected value" section instead, but we don't have Game Guy's decision logic/rates}}
With Game Guy actively competing against the player, this minigame is more complex than the others.

* If the player rolls a 1, they should always roll again (zero chance of going over).
* If Game Guy is ahead of the player after both rolls, they should always roll again (not rolling again is a guaranteed loss).
* If Game Guy has already lost (being tied, behind, or gone over) after both rolls, the player should not roll if they merely want to win. If they instead want to maximize expected value:
{|class="wikitable"
!Step!!Odds of landing on 7!!Odds of going over!!Expected value
|-
|1||1/6||0/6||3.333x
|-
|2||1/6||1/6||3x
|-
|3||1/6||2/6||2.667x
|-
|4||1/6||3/6||2.333x
|-
|5||1/6||4/6||2x
|-
|6||1/6||5/6||1.667x
|}
Therefore, rolling again on 5 or 6 does not improve winnings.

==Controls==
* {{button|n64|A}} &ndash; Roll Dice Block

==In-game text==
* '''Game Guy''' &ndash; ''"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==
<gallery>
Game Guy's Lucky 7 Dice Block 1st roll.png|One on the die
Game Guy's Lucky 7 Dice Block 2nd roll.png|Two on the die
Game Guy's Lucky 7 Dice Block 3rd roll.png|Three on the die
Game Guy's Lucky 7 Dice Block 4th roll.png|Four on the die
Game Guy's Lucky 7 Dice Block 5th roll.png|Five on the die
Game Guy's Lucky 7 Dice Block 6th roll.png|Six on the die
Game Guy's Lucky 7 Number 1.png|The first step's number
Game Guy's Lucky 7 Number 2.png|The second step's number
Game Guy's Lucky 7 Number 3.png|The third step's number
Game Guy's Lucky 7 Number 4.png|The fourth step's number
Game Guy's Lucky 7 Number 5.png|The fifth step's number
Game Guy's Lucky 7 Number 6.png|The sixth step's number
Game Guy's Lucky Number 7.png|The seventh step's number
</gallery>

==Names in other languages==
{{foreign names
|Jpn=ねらえ！ぴったり7
|JpnR=Nerae! Pittari Sebun
|JpnM=Aim for the Lucky 7!
|Ger=Glücks Guys Verflixte 7
|GerM=Game Guy's dratted 7
|Fre=Le 7 de Maskash
|FreM=Game Guy's 7
|Spa=7 de la Suerte de Shy Guy
|SpaM=Game Guy's Lucky 7
}}

{{MP3 minigames}}
[[Category:Mario Party 3 minigames]]