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Added a sentence after the explanation of the highest score possible for the Grange Display. This explains how to win first place with a minimum of 90 points, to make it easier for players to figure out the bare minimum criteria for first place.
[[File:GrangeDisplay123Points.png|thumb|right|120px|One possible 124 point display]]
[[File:GrangeDisplay123Points.png|thumb|right|120px|One possible 124 point display]]
Assuming that nine items, each worth 8 points, are submitted and that the items represent at least six unique categories, the highest score obtainable is {{#expr: (14 + 8*9 + 9-2*0 + 5*6) }} (14 + 72 + 9 + 30). Getting the maximum score of 125 is only possible if one has access to [[Deluxe Fertilizer]]. Out of the eight categories that exist, six contain 8-point items: Animal Products, Artisan Goods, Fish, Foraging, Fruits, and Vegetables. 8 point Vegetable items are only obtainable with Deluxe Fertilizer. Without deluxe fertilizer to grow iridium quality crops, the next best vegetable item is the iridium-quality [[Fiddlehead Fern]], at 7 points. Because of this, the highest score obtainable without access to Deluxe Fertilizer is 124.
Assuming that nine items, each worth 8 points, are submitted and that the items represent at least six unique categories, the highest score obtainable is {{#expr: (14 + 8*9 + 9-2*0 + 5*6) }} (14 + 72 + 9 + 30). Getting the maximum score of 125 is only possible if one has access to [[Deluxe Fertilizer]]. Out of the eight categories that exist, six contain 8-point items: Animal Products, Artisan Goods, Fish, Foraging, Fruits, and Vegetables. 8 point Vegetable items are only obtainable with Deluxe Fertilizer. Without deluxe fertilizer to grow iridium quality crops, the next best vegetable item is the iridium-quality [[Fiddlehead Fern]], at 7 points. Because of this, the highest score obtainable without access to Deluxe Fertilizer is 124.
Assuming that nine items are submitted representing at least 6 categories, winning with a minimum of 90 points requires submitting eight 4-point items and one 5-point item (14 + (8 x 4 + 5) + 9 + 30 = 90).
Once the judging is complete, make sure to retrieve the items from the table, as they are '''not''' automatically returned. However, the items can be retrieved at the Lost and Found in the [[Mayor's Manor]] should the player forget to retrieve them before leaving the fair.
Once the judging is complete, make sure to retrieve the items from the table, as they are '''not''' automatically returned. However, the items can be retrieved at the Lost and Found in the [[Mayor's Manor]] should the player forget to retrieve them before leaving the fair.
<ref Name="OptimalBet">The optimal bet can be calculated using the Kelly criterion for bet sizing:<samp>
<ref Name="OptimalBet">The optimal bet can be calculated using the Kelly criterion for bet sizing:<samp>
<br/>Proportion to bet = Chance of Winning - (Chance of Losing / Profit Margin on Win).
<br/>Proportion to bet = Chance of Winning - (Chance of Losing / Profit Margin on Win).
<br/>Proportion to Bet = (23 / 30) - ((7 / 30 ) / 2)
<br/>Proportion to Bet = (23 / 30) - ((7 / 30 ) / 1)
<br/>Proportion to Bet = 65%</samp></ref>
<br/>Proportion to Bet = 53.3%</samp></ref>
</references>
</references>