Game Guy's Sweet Surprise

(Redirected from Big Chomp and Little Chomp)
Game Guy's Sweet Surprise
Game Guy's Sweet Surprise: Two differently sized Chain Chomps devouring their own cakes. From Mario Party 3.
Appears in Mario Party 3
Type Game Guy mini-game
Time limit 10 seconds to select a Chain Chomp
Music track Game Guy Mini-Game
Music sample

Game Guy's Sweet Surprise is a Game Guy minigame in Mario Party 3.

GameplayEdit

The player simply has to predict which Chain Chomp will finish eating its cake first. Before selecting a Chain Chomp, the player can read a description of the Chain Chomps' moods. If the player correctly predicts that the Big Chomp will finish first, the player's coins are doubled. However, if the player correctly predicts that the Little Chomp will finish first, the player's coins are multiplied by an even greater number: either 4, 8, 16, 32, or 64. If the player makes the wrong prediction, they lose all of their coins.

MechanicsEdit

At the beginning of the minigame, the Big Chomp is always assigned a multiplier of ×2, while the Little Chomp is equally likely to be assigned a multiplier of ×4, ×8, ×16, ×32, or ×64. The probability that the Little Chomp will finish its cake first depends entirely on the multiplier assigned to it. The moods of both Chain Chomps do not affect their likelihood of winning.[1]

At a fixed interval, one of the two Chain Chomps takes a bite of the cake. Below are the probabilities of either Chain Chomp taking a bite of its cake during an interval, based on the multiplier assigned to the Little Chomp:

Multiplier Chance   takes a bite Chance   takes a bite
×4 50% 50%
×8 60% 40%
×16 70% 30%
×32 80% 20%
×64 90% 10%

During the same interval, the Chain Chomp that took a bite has a 40% chance to take a second bite. The first Chomp to take six or more bites wins.[1] This means that the overall probabilities that either Chain Chomp will finish its cake first are as follows, based on the multiplier assigned to the Little Chomp:[2]

Multiplier Chance   wins Chance   wins
×4 50.000% 50.000%
×8 70.927% 29.073%
×16 87.201% 12.799%
×32 96.460% 3.540%
×64 99.654% 0.346%

Expected valueEdit

Let B be the number of coins bet. The following table shows the EV for each multiplier assigned to the Little Chomp, as well as whether the player bets on the Big Chomp or the Little Chomp.

Multiplier Bet on   Bet on   Higher EV
×4 2B × 0.50000 = 1B 4B × 0.50000 = 2B  
×8 2B × 0.70927 ≈ 1.419B 8B × 0.29073 ≈ 2.326B  
×16 2B × 0.87201 ≈ 1.744B 16B × 0.12799 ≈ 2.048B  
×32 2B × 0.96460 ≈ 1.929B 32B × 0.03540 ≈ 1.133B  
×64 2B × 0.99654 ≈ 1.993B 64B × 0.00346 ≈ 0.221B  

If the Little Chomp has a multiplier of ×4 and the player wishes to earn as many coins as possible, they should always bet on the Little Chomp, as it has the same chance of winning as the Big Chomp but double the expected value. At ×8 and ×16, the Big Chomp is much more likely to win a single round, but the Little Chomp has a higher reward in the long run. At ×32 and ×64, the Big Chomp's win rate and expected value are both higher than the Little Chomp's; betting on the Big Chomp in those cases is nearly guaranteed to result in the player doubling their coins.

ControlsEdit

  •   or   – Choose Chain Chomp
  •   – Select Chain Chomp

QuotesEdit

Both Chain Chomps can say anything listed below while the player is choosing one of them. These have no effect on the outcome of the game.

  • "I'm so hungry I could faint..."
  • "I haven't eaten since this morning."
  • "Love that cake!"
  • "I'm starvin'!"
  • "Food! Food!!!"
  • "Feed 'em faster!"
  • "No...more cake..."
  • "My tummy hurts..."
  • "It's too sweet..."
  • "I like mushrooms more than cake."

In-game textEdit

  • Game Guy"The Big Chomp and the Little Chomp will have a cake-eating race. Predict which one will be the quicker cake eater. If you guess right, you'll get more coins. But, if you guess wrong, your coins will be mine."

GalleryEdit

Names in other languagesEdit

Language Name Meaning
Japanese ケーキでバトル
Kēki de batoru
Battle with Cake

ReferencesEdit