Game Guy's Lucky 7

Game Guy's Lucky 7
Appears in	Mario Party 3
Type	Game Guy mini-game
Time limit	10 seconds per turn
Music track	Game Guy Mini-Game
Music sample

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 coins. 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.

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.

	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 only be made 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 innstead of 1000), and drops further as more coins are bet.

Controls

• – 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

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  One on the die

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  Two on the die

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  Three on the die

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  Four on the die

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  Five on the die

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  Six on the die

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  The first step's number

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  The second step's number

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  The third step's number

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  The fourth step's number

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  The fifth step's number

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  The sixth step's number

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  The seventh step's number

Names in other languages

Language	Name	Meaning
Japanese	ねらえ！ぴったり7 Nerae! Pittari Sebun	Aim for the Lucky 7!
German	Glücks-Guys Verflixte 7	Game Guy's dratted 7