TL;DR

Question:

Does wisdom above 18 increase probability of good wish results

Answer:

No

Long Version

18 Wisdom 21 Wisdom 25 Wisdom Wish Good Bad ? Count Chance% Count Chance% Count Chance% Abi-Dalzim's horrid wilting on everyone in the area, including the party. BAD 1927 19.3% 1966 19.7% 2022 20.2% All party members gain the temporary ability Greater Deathblow. GOOD 1983 19.8% 1965 19.7% 1916 19.2% All party members gain the temporary ability Hardiness. GOOD 1980 19.8% 2050 20.5% 2038 20.4% Breach on all enemies in the area. GOOD 2028 20.3% 1979 19.8% 2010 20.1% Bring a "meteor swarm" down upon the caster. BAD 2025 20.3% 2049 20.5% 2022 20.2% Cast a double-length time stop and improved alacrity on the caster. GOOD 2052 20.5% 1960 19.6% 2046 20.5% Create a random potion in the caster's inventory. GOOD 2001 20.0% 1941 19.4% 1987 19.9% Create a random wand in the caster's inventory. GOOD 2070 20.7% 2046 20.5% 2020 20.2% Everyone in the area, both party members and enemies, become intoxicated. BAD 1955 19.6% 1976 19.8% 1987 19.9% Haste everyone in the area, including enemies. BAD 1909 19.1% 2012 20.1% 2005 20.1% Heal everyone, party members and enemies included. BAD 2029 20.3% 1910 19.1% 1960 19.6% Improved haste on all enemies in the area. BAD 2036 20.4% 2049 20.5% 1954 19.5% Improved haste on all party members. GOOD 1991 19.9% 1981 19.8% 2028 20.3% Incur bad luck on everyone in the area, including party members. BAD 2016 20.2% 2025 20.3% 1992 19.9% Level drain two levels from each party member. BAD 2036 20.4% 2002 20.0% 1992 19.9% Magic resistance on everyone in the area, including enemies. BAD 1950 19.5% 1966 19.7% 2064 20.6% Make it as if the entire party has just rested a full night and rememorized all their spells. GOOD 2008 20.1% 2073 20.7% 1981 19.8% Miscast magic on everyone in the area, including party members. BAD 2064 20.6% 2049 20.5% 1979 19.8% Party loses 10,000 gp. BAD 2038 20.4% 1995 20.0% 2024 20.2% Raise all party members' characteristics to 25 for 4 rounds. GOOD 1956 19.6% 1939 19.4% 2033 20.3% Restoration on all party members. GOOD 1982 19.8% 1984 19.8% 1978 19.8% Resurrection on all dead party members. GOOD 2028 20.3% 2027 20.3% 2018 20.2% Temporarily reduce the Wisdom of all party members to 3. BAD 1932 19.3% 2053 20.5% 1954 19.5% Temporarily remove half of the caster's HP. BAD 1989 19.9% 1984 19.8% 1982 19.8% Temporarily set Strength to 18 for everyone in the area, including enemies. BAD 2015 20.2% 2019 20.2% 2008 20.1%

Question:

Are all options of equal chance?

Answer:

Yes. Around 20% to get each option during single cast, this is because there are exactly 25 options and you choose 5 of them.

Question:

Does wisom increase the chances of any option?

Answer:

No

18 Wisdom 21 Wisdom 25 Wisdom Good Results Count Chance% Count Chance% Count Chance% 0 377 3.8% 402 4.0% 351 3.5% 1 2040 20.4% 2107 21.1% 2096 21.0% 2 3778 37.8% 3748 37.5% 3778 37.8% 3 2821 28.2% 2720 27.2% 2807 28.1% 4 900 9.0% 933 9.3% 858 8.6% 5 84 0.8% 90 0.9% 110 1.1%

Question:

What is the chance to get zero good options?

Answer:

Only ataround 3.5-4% casts you won't get any option which can be considered always good.

18 Wisdom 21 Wisdom 25 Wisdom Result Count Chance% Count Chance% Count Chance% Wishes Chance% BAD 27921 55.8% 28055 56.1% 27945 55.9% 14 56.0% GOOD 22079 44.2% 21945 43.9% 22055 44.1% 11 44.0%

Question:

Are good/bad options happening more often?

Answer:

Because there are 14 bad options and 11 good options they will appear in 56% to 44% spread.

FAQ

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Question:

Answer:

Don't ask me why. I don't know why, I just did it.I wrote a bot program which did run the regular game (2.5.16 version) with no mods installed and used sorcerer casting wish spells under improved alacrity. Bot then read results from the game screen and saved output to the file. File later was simply processed to calculate results. 10,000 casts per three wisdom values 18, 21 and 25 for total of 30,000 casts and 150,000 wish options scanned.Below are my findings.If you are interested here is showcase of bot in action.So first of allSo the conculsions from this table are.So additionaly let's check how many good/bad options do you get on average in each cast.So the conculsions from this table are.So how many good and bad results did we get.So the conculsions from this table are.Did you dcoument the results?Yes. They are here https://docs.google.com/spreadsheets/d/1PwVY3Cyk5JwqCmIjzd6YM1Qu0pW_BlrJRPWrGTAKCuo/edit?usp=sharing How long did it take you to do this?Script ran for 30 hours in total.What tool did you use?AutoHotKeyNow we can finally invest those wisdom points into divine casters for extra casts.Thank you for reading.