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m (The Poké Ball Plus is Poké Ball-shaped. The Pokéwalker merely has a Poké Ball design.) |
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When using the Dowsing Machine, assuming that hints are always used correctly, there is a 50% chance of finding an item regardless of which patch is selected first. | When using the Dowsing Machine, assuming that hints are always used correctly, there is a 50% chance of finding an item regardless of which patch is selected first. | ||
====Mathematical derivation of dowsing probabilities==== | |||
These derivations assumes that hints are faithfully followed. | |||
{| class="expandable" style="margin:auto; margin-top:10px; text-align:center; background: #d32c3e; {{roundy|10px}}; border: 3px solid #090809" | {| class="expandable" style="margin:auto; margin-top:10px; text-align:center; background: #d32c3e; {{roundy|10px}}; border: 3px solid #090809" | ||
|+ '''Perspective 1: Chance that player's choices will end up finding an item''' | |+ '''Perspective 1: Chance that player's choices will end up finding an item''' | ||
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| style="background:#ede9ee; {{roundybottom|5px}}" colspan=6 | <big>'''Overall chance: 1/2'''</big> | | style="background:#ede9ee; {{roundybottom|5px}}" colspan=6 | <big>'''Overall chance: 1/2'''</big> | ||
|} | |} | ||
{| class="expandable" style="margin:auto; margin-top:10px; text-align:center; background: #d32c3e; {{roundy|10px}}; border: 3px solid #090809" | {| class="expandable" style="margin:auto; margin-top:10px; text-align:center; background: #d32c3e; {{roundy|10px}}; border: 3px solid #090809" | ||
|+ '''Perspective 2: Chance that player will find an item in a given position''' | |+ '''Perspective 2: Chance that player will find an item in a given position''' | ||
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|- | |- | ||
| style="background:#ede9ee; {{roundybottom|5px}}" colspan=6 | <big>'''Overall chance: 1/2'''</big><br><small>( 2 x 1/6 x ( 11/24 + 41/72 + 17/36 ) )</small> | | style="background:#ede9ee; {{roundybottom|5px}}" colspan=6 | <big>'''Overall chance: 1/2'''</big><br><small>( 2 x 1/6 x ( 11/24 + 41/72 + 17/36 ) )</small> | ||
|} | |} | ||