What are the most common bingos (seven-letter words using a whole rack) in Scrabble?

The book, THE ULTIMATE GUIDE TO WINNING SCRABBLE, by Lawrence and Ozag
gives a list of "The 100 Most Common Bingos".  This began me wondering
how they derived that list.  So, I decided to make up my own list by,
how else, computer simulation.

I wrote a simple little program to pick 7-letter racks "at random".
Starting with the standard Scrabble pool of 100 letters (9 A's, 2 B's,
etc.), I had 14 racks (=98 letters) chosen in each "game".  For each
chosen rack, I found and recorded every possible 7-letter bingo.  I
automated the process so that the computer chose the racks and saved
all bingos to a file.  I then set it up to repeat the process 11,000
times, for a total of 154,000 racks, a pretty good representative
sample I think, and went to bed while the computer ran overnight.  It
took about 7 hours to run the 154,000 racks on my 486DX2-66.

The list below gives all bingos that occurred at least three times in
the 154,000 racks.  The number in front of each word is, of course, the
number of occurrences.  Here then is my list of "common bingos".

Note that this list does *not* accurately reflect common bingos
occurring in actual play.  In the "real world", every halfway decent
player will "manage" his or her rack, holding back BLANKS, S's,
building block prefixes and suffixes (such ER and ING), and aiming for
reasonable rack balance.  This actually skews the odds toward bingos by
a factor of 3 or 4!  My computer simulation found a bingo about every
30 racks, whereas good players will bingo much more frequently than
that.  The list below is therefore more typical of the most common
bingos played early in the game, before rack management becomes much of
a factor and the player's rack is more nearly "random".

MY LIST OF 219 "COMMON" BINGOS

3     ACROGEN
3     ADRENAL
3     AEOLIAN
4     AERIEST
3     AEROSOL
3     AGINNER
6     AILERON
3     AIRLINE
3     ALIENER
6     ALIENOR
5     ALIGNER
3     ANEMONE
3     ANERGIA
4     ANERGIC
5     ANEROID
4     ANESTRI
4     ANGRIER
3     ANILINE
3     ANISEED
4     ANISOLE
4     ANTSIER
4     APRONED
6     ARENITE
3     ARENOUS
3     ARISTAE
3     ARTSIER
3     ASTERIA
3     ASTHENY
3     ATRESIA
3     AUDITOR
3     BEAMIER
5     BEARING
3     BEASTIE
3     BETAINE
3     BLANDER
3     BONIEST
6     BRAINED
3     CAIRNED
3     CANDIES
3     CARINAL
3     CARLINE
3     CELOSIA
3     CLANGER
3     CLARION
3     CRANIAL
3     DANDLER
4     DANGLER
3     DENARII
4     DERAIGN
3     DESTAIN
3     DETAINS
3     DICTIER
3     DRASTIC
3     DUSTIER
4     EARINGS
3     EARNING
4     EARRING
3     ELATION
4     ELOINED
3     ENDUROS
5     ENGRAIL
3     ENGRAIN
3     ENLARGE
3     ENTERIC
3     ENTICER
3     ENTRANT
3     EQUATOR
4     ERASING
4     ERASION
3     ERELONG
4     ESTRONE
3     ETESIAN
4     ETHANES
3     FAITOUR
3     FEARING
3     FORTIES
4     GAINERS
3     GEARING
3     GENERAL
3     GERMINA
3     GLANCER
3     GLEANER
4     GNARLED
4     GRADINE
4     GRAINED
4     GRAINER
3     GRANITE
3     GRANNIE
3     GRATINE
3     GREAVES
4     GROANED
3     HANDLER
3     HASTIER
3     HEARING
3     HEAVENS
3     HERNIAL
3     HEXANES
3     IGNATIA
3     INCASED
3     INGRATE
3     INHALER
3     INLAYER
3     INSTEAD
4     INTEGER
4     IODATES
4     LADRONE
3     LAUNDER
3     LURDANE
3     MAGNETO
3     MANGIER
3     MANGLER
3     MANLIER
3     MARLINE
3     MEGATON
3     MELODIA
3     MINERAL
3     MONTAGE
3     MORAINE
3     NAGGIER
3     NAIADES
3     NAIVETE
3     NARDINE
5     NARGILE
4     NASTIER
3     NEARING
4     NEGATOR
3     NEURONE
3     NUMERIC
3     ONETIME
3     OPALINE
4     OPERAND
3     OSTIARY
3     OUTAGES
3     OUTDARE
3     OUTEARN
3     OUTRAGE
3     OUTREAD
3     OVARIES
4     PADRONE
3     PANDIES
4     PANDORE
3     PANIERS
3     PARDINE
3     POETIZE
3     PROLINE
5     RANDIES
4     RANGIER
3     RAPINES
4     RATINES
3     RAVELIN
4     READING
3     READOUT
4     REAGINS
5     REALIGN

[ Editor: the collected copy of the message ends here, partway through
the R's; the rest of the 219 words is missing. ]

-- thegrendel@gcc.cc.md.us (to the crossword-games mailing list)

[ Editor: the opposite question, the least probable bingos, from the
crossword-games mailing list, September 1996. ]

LOWEST-PROBABILITY 7-LETTER BINGOS
zyzzyva
jumbuck
upchuck
hubbubs
schmuck
mugwump
muumuus
bluffly
churchy
dybbuks

LOWEST-PROBABILITY 8-LETTER BINGOS
muckluck
mudpuppy
zyzzyvas
bushbuck
jumbucks
schmucks
upchucks
mugwumps
succubus
succumbs

Has anyone ever played any of these turkeys in a real game?

-- Mendel Leo Cooper <grendel@theriver.com>

Mendel Cooper gives an untagged list of what turn out to be low
probability TWL 7s and 8s.  Here's a tagged, corrected equivalent.

zyzzyva<$> muumuus<$> humbuzz<#> hummums<#> hubbubs    tsktsks<$>
pizazzy<$> mummock<#> succuss    mulmull<#> mimmick<#> upchuck
jujutsu<$> humhums<#> kebbuck    hummaum<#> zizzing<#> skyjack
mummify    jumbuck    huzzahs<$> kachcha<#> mammock    kickoff<$>
kuchcha<#> pzazzes<#> mukluks    churchy    pushups<$> kebbock

zyzzyvas<$> kickback... khuskhus<#> muckluck... cyclicly<$> kazatzka<#>
mudpuppy... hokypoky<$> kavakava<$> surucucu<#> jujutsus<$> chowchow<$>
pickwick<$> backpack... cachucha... succubus... zigzaggy<#> riffraff<$>
niffnaff<#> skyjacks... sucuruju<#> cookbook... mummocks<#> subfusks<#>
packsack<$> mimmicks<#> mulmulls<#> hubbuboo<#> knockoff<$> cockcrow<$>

-- John J. Chew III <jjchew@math.utoronto.ca>