Poké Radar: Difference between revisions

Poké Radar (view source)

Revision as of 22:00, 27 September 2020

307 bytes added , 27 September 2020

→‎Shiny probability

Nickrarri

2

edits

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 [[File:PokéRadarShinyProbability IV.png|thumb|right|The formula for the probability of a patch being Shiny]]
-The formula to the right describes the probability for a patch to contain a Shiny Pokémon, where n<sub>c</sub> is the length of the chain, up to a length of 40. The results of this formula are depicted in the table shown below. As the table shows, the odds of finding a Shiny Pokémon increase slowly at first, but eventually they increase by larger and larger amounts, until reaching the maximum of a 1/200 chance of finding a Shiny Pokémon for a chain of length 40 or greater. These odds do not exceed the odds of the [[Masuda method]] until a chain length of 33 is reached.
+The formula to the right describes the probability for a patch to contain a Shiny Pokémon, where n<sub>c</sub> is the length of the chain, up to a length of 40. The results of this formula are depicted in the table shown below. During the calculation, any operations are carried out on integers internally, such that effectively each division is a [[wp:Rounding#Rounding_to_integer|truncated integer division]] (rounding towards zero, cutting off any decimals). Due to this, the shiny probability remains at 1/8192 up to a chain of 4.
+As the table shows, the odds of finding a Shiny Pokémon increase slowly at first, but eventually they increase by larger and larger amounts, until reaching the maximum of a 1/200 chance of finding a Shiny Pokémon for a chain of length 40 or greater. These odds do not exceed the odds of the [[Masuda method]] until you surpass a chain length of 33.
 Since up to four grass patches can shake at a single time, the probability of finding a Shiny Pokémon in a given use of the Poké Radar can be up to 4 times as high, giving the player a maximum of approximately a 1/50 chance of finding a Shiny Pokémon at a chain length of 40.
@@ Line 67: / Line 69: @@
 |- style="background:#fff"
 | 1
-| rowspan="4" | 9/65536 (~1/7282)
+| rowspan="4" | 8/65536 (1/8192)
 |- style="background:#fff"
 | 2
@@ Line 76: / Line 78: @@
 |- style="background:#fff"
 | 5
-| rowspan="4" | 10/65536 (~1/6554)
+| rowspan="4" | 9/65536 (~1/7282)
 |- style="background:#fff"
 | 6
@@ Line 85: / Line 87: @@
 |- style="background:#fff"
 | 9
-| rowspan="3" | 11/65536 (~1/5958)
+| rowspan="3" | 10/65536 (~1/6554)
 |- style="background:#fff"
 | 10
@@ Line 92: / Line 94: @@
 |- style="background:#fff"
 | 12
-| rowspan="2" | 12/65536 (~1/5461)
+| rowspan="2" | 11/65536 (~1/5958)
 |- style="background:#fff"
 | 13
 |- style="background:#fff"
 | 14
-| rowspan="2" | 13/65536 (~1/5041)
+| rowspan="2" | 12/65536 (~1/5461)
 |- style="background:#fff"
 | 15
 |- style="background:#fff"
 | 16
-| rowspan="2" | 14/65536 (~1/4681)
+| rowspan="2" | 13/65536 (~1/5041)
 |- style="background:#fff"
 | 17
 |- style="background:#fff"
 | 18
-| rowspan="2" | 15/65536 (~1/4369)
+| rowspan="2" | 14/65536 (~1/4681)
 |- style="background:#fff"
 | 19
 |- style="background:#fff"
 | 20
-| 16/65536 (1/4096)
+| 15/65536 (~1/4369)
 |- style="background:#fff"
 | 21
-| 17/65536 (~1/3855)
+| 16/65536 (1/4096)
 |- style="background:#fff"
 | 22
-| 18/65536 (~1/3641)
+| 17/65536 (~1/3855)
 |- style="background:#fff"
 | 23
-| 19/65536 (~1/3449)
+| 18/65536 (~1/3641)
 |- style="background:#fff"
 | 24
-| 20/65536 (~1/3277)
+| 19/65536 (~1/3449)
 |- style="background:#fff"
 | 25
-| 21/65536 (~1/3121)
+| 20/65536 (~1/3277)
 |- style="background:#fff"
 | 26
-| 22/65536 (~1/2979)
+| 21/65536 (~1/3121)
 |- style="background:#fff"
 | 27
-| 24/65536 (~1/2731)
+| 23/65536 (~1/2849)
 |- style="background:#fff"
 | 28
-| 26/65536 (~1/2521)
+| 25/65536 (~1/2621)
 |- style="background:#fff"
 | 29
-| 28/65536 (~1/2341)
+| 27/65536 (~1/2427)
 |- style="background:#fff"
 | 30
-| 30/65536 (~1/2185)
+| 29/65536 (~1/2260)
 |- style="background:#fff"
 | 31
-| 33/65536 (~1/1986)
+| 32/65536 (1/2048)
 |- style="background:#fff"
 | 32
-| 37/65536 (~1/1771)
+| 36/65536 (~1/1820)
 |- style="background:#fff"
 | 33
-| 41/65536 (~1/1598)
+| 40/65536 (~1/1638)
 |- style="background:#fff"
 | 34
-| 47/65536 (~1/1394)
+| 46/65536 (~1/1424)
 |- style="background:#fff"
 | 35
-| 55/65536 (~1/1192)
+| 54/65536 (~1/1214)
 |- style="background:#fff"
 | 36
-| 66/65536 (~1/993)
+| 65/65536 (~1/1008)
 |- style="background:#fff"
 | 37
-| 82/65536 (~1/799)
+| 81/65536 (~1/809)
 |- style="background:#fff"
 | 38
-| 110/65536 (~1/596)
+| 109/65536 (~1/601)
 |- style="background:#fff"
 | 39
-| 164/65536 (~1/400)
+| 163/65536 (~1/402)
 |- style="background:#fff"
 | style="{{roundybl|5px}}" | 40+
-| style="{{roundybr|5px}}" | 328/65536 (~1/200)
+| style="{{roundybr|5px}}" | 327/65536 (~1/200)
 |}