Fishtopia

Summary

In Fishtopia, players answer questions to earn bait. They can use bait to fish and sell fish for cash. Cash can be used to buy tickets, gear, or powers. 

Fish

Purchasable Items

• Boat Tickets/Lakes:

  • Main Island: Free

  • Purple Pond: $10, Infinite Use

  • Sandy Shores: $85, Infinite Use

  • Cosmic Cove: $250, Infinite Use

  • Lucky Lake: $1000, One-Time Use

• Powers:

  • Bolt: $30. Causes player to run 8 m/s instead of 5 m/s.

  • No Wait: $40. When you cast your fishing rod, you will catch a fish instantly instead of waiting 2 seconds.

  • Cash In: $70. Earn 1.3x cash when selling fish.

• Gear:

  • Small Backpack: Free. Hold 4 of each fish.

  • Medium Backpack: Costs $20. Hold 8 of each fish. Generally not a good idea as it is a waste of $20 because you will buy large backpack.

  • Large Backpack: Costs $60. Hold 20 of each fish.

  • Basic Rod: Free. 

  • Expert Rod: Costs $75. 

How to Catch a Gimfish

1. Go to Purple Pond.

2. Go to the south rock and eat the blackberry.

3. Go to Sandy Shores.

4. Go to the tree in the north and eat the strawberry.

5. Go to Cosmic Cove. 

6. Go to the pocket room and eat the raspberry.

7. Go to Lucky Lake.

8. Catch a berry fish and make sure you have earned a profit in your trip. You cannot catch a berry fish unless you have eaten the three berries first.

9. Eat the gimberry in the bushes on the west side of the main island.

10. Go to Lucky Lake.

11. Catch a gimfish (it's a 1% chance if you have the expert rod). You cannot catch a gimfish unless you have eaten the gimberry.

My Strategy for Upgrade Order

1. Purple Pond ($10)

2. No Wait ($40)

3. Bolt ($30)

4. Large Backpack ($60)

5. Sandy Shores ($85)

6. Cash In ($70)

7. Cosmic Cove ($250)

8. Expert Rod ($75) 

9. Lucky Lake ($1000)

Main Island Fishing

Here is a graph of the probability that you need to fish this many times to get to Purple Pond, from the main island without the expert rod. It makes sense that 7 is lower than the others around it,  because 1 red fish + 5 gray fish gets you to Purple Pond with six fish. Five is also pretty high because of 3 gray + 1 green + 1 red. One is 5% because blue fish is 5% of the time.

Fish Chances (IN PROGRESS)

Main Island graphs are regular bar charts. The rest are histograms with 50 bars.

Data of average cash & bait are not accurate because this is based off of a Python simulation instead of mathematical calculations.

Also, "average cash" does not count Cash In.

Average cash (per fishing trip) is the more useful metric in easier sets and/or high bait per question. However, cash per bait is more important when bait is valuable. In Lucky Lake, cash per trip is more important anyway because the ticket is one-time use instead of infinite use.

Tables & graphs are at: https://docs.google.com/document/d/1p37sSqPgs5NOW5fjYWDqgWE0XltJ4jpVb2c6gbt09Rc/

Purple Pond

Without Expert Rod: 250 tests

GREEN FISH - 118 (47.20%) / (50%?)

RED FISH - 60 (24.00%) / (25%?)

BLUE FISH - 39 (15.60%) / (15%?)

PURPLE FISH - 33 (13.20%) / (10%?)

With Expert Rod: 420 Tests 

RED FISH - 313 (74.5%) / (75%?)

BLUE FISH - 79 (18.8%) / (18.5%?)

PURPLE FISH - 28 (6.7%) / (6.5%?)

Yes, there is approximately a 99.99% chance that the Purple Fish is lower probability with expert rod.

Cosmic Cove

Without Expert Rod: 518 Tests

RED FISH - 173 (33.4%) / (35%?)

BLUE FISH - 122 (23.6%) / (25%?)

PURPLE FISH - 123 (23.7%) / (20%?)

STAR FISH - 84 (16.2%) / (17%?)

GALAXY FISH - 16 (3.1%) / (3%?)

Lucky Lake (All Berries)

Without Expert Rod: 710 Tests

BLUE FISH - 209 (29.4%) / (30%?) (98% CI: ~26-34%)

PURPLE FISH - 184 (25.9%) / (25%?) (98% CI: ~22-29%)

BEACH FISH - 131 (18.5%) / (20%?) (98% CI: ~15-22%)

STAR FISH - 132 (18.6%) / (18%?) (98% CI: ~15-22%)

GALAXY FISH - 36 (5.1%) / (4.5%?) (98% CI: ~3-7%)

BERRY FISH - 14 (2.0%) / (2%?) (98% CI: 1-3%)

GIMFISH - 4 (0.6%) / (0.5%?) (98% CI: 0-1.3%)

With Expert Rod:

WARNING: Do not trust the Gimfish data on this. This is clearly a much more unlucky run than usual. I don't know why I only caught five Gimfish. I am not allowed to delete this data unfortunately because I can't mess with the data I got. The Gimfish probability is likely around 1%. However, based on the sample size calculator saying that the 99.999% confidence interval is 0 to 0.9%, then there are two main possibilities:

• The Gimfish probability is actually 0.5% (this does fall within the 98% confidence interval). This is much more likely than the other possibility.

• Or, there is a "swimming Gimfish" mechanic where the total number of Gimfish that can be collected by everyone throughout the game is equal to 5 times the number of players. After all Gimfish have been caught, then nobody can catch more Gimfish.

With Expert Rod: 1,665 Tests

PURPLE FISH - 884 (53.1%) (55%?)

BEACH FISH - 340 (20.4%) (20%?)

STAR FISH - 227 (13.6%) (12.5%?)

GALAXY FISH - 145 (8.7%) (8.5%?)

BERRY FISH - 64 (3.8%) (3.5%?)

GIMFISH - only 5?!? (0.3%) (0.5%?)