According to http://www.freescrabbledictionary.com/sowpods/ (http://www.freescrabbledictionary.com/sowpods/) there are 124 two-letter words in scrabble and 1311 three-letter words.
One can just about imagine someone going through the two-letter word list until they get a match. It would be an unusual way of having fun but not impossible.
But 1311 three-letter words feels like too many.
However, maybe all is not lost.
What if we start by thinking of what book Mr G is likely to choose from. His first example was
Godel, Escher, Bach: an Eternal Golden Braid. This makes it quite likely that (assuming he doesn't want to use the same book twice running) his next choice will be from the writings of Douglas Adams. Let us look at the three-letter words which occur in the Dirk Gently books.
To make things a bit easier, let us guess that Mr G is kindly not going to have chosen a word at the beginning of a sentence with a capital letter, it would feel not random enough.
Here is a list of the remaining words he might have chosen from (ignoring tiresome details like apostrophes and hyphens):
act add ads age ago aid aim air all alt and ane any are arm art ash ask ate awe axe bad bag bal bar bat bed beg bet bid big bin bit bob bow box boy bra bun bus but buy cab caf can cap car cat cnd cod cow coy cry cup cut day den dep dew did die dig dim din dog don dow dry due dug ear eat ebb eek eel eff egg end eye fag far fat fed fee few fey fig fit fix flu fly for fun fur gag gap gas gel get gin god got gun guy gym had hag ham has hat hay her hid him hip his hit hob hop hot how hug hum ice icy ill ion its ivy jam jar jaw jet job joy jug key kid kir lap law lay led leg let lid lie lip lit lot low lug mad man map maw max may med men met mix mle mor mud mug nag new nod non nor not now nut oaf oak obf odd off oil old one onx our out owe own pad pat pay pen per pie pig pit pop pot pub put ran rap rat red rev rid rim rip rly rod rom rot row rub rug rum run sad sat saw say sea see set sex she sip sir sit six sky sly sob son sue sum sun tan tap tea ted ten the tie tin tip ton too top tow toy try tug tum two urn use van vat via vim wad wan war was wax way web wet who why win wit won wry yes yet yew you zip
Well this is not so bad, we are down from 1311 words to 279 words. By the way, some of these words look a bit odd: 'dep' for example; however, referring back to the source, it turns out that the word does indeed occur:
I'm afraid I've got to work. Nicola's sick and I'm going to have to dep for her at the Wigmore on Friday week.
But it still feels like too many words. Maybe if we sort them into decreasing order of frequency of how many times they occur in the books, things will get easier:
7364 the
4102 and
2683 was
1447 his
1368 had
1345 you
975 for
761 him
714 but
686 her
634 she
606 not
560 all
523 out
443 one
289 its
269 way
257 see
256 who
234 are
227 off
226 did
221 any
216 now
193 get
178 man
155 can
152 two
147 got
144 old
139 few
133 say
131 own
131 how
125 put
113 car
108 air
102 sat
91 why
91 too
86 has
86 day
85 let
76 new
73 yes
71 bit
63 bed
60 odd
59 end
58 lot
56 lay
53 our
53 may
53 ask
52 top
47 try
47 set
46 far
45 sky
44 saw
44 big
41 yet
40 hat
37 god
34 ran
33 eye
33 arm
32 led
31 red
31 low
31 box
29 tap
29 boy
28 sit
27 use
27 ago
26 run
26 hit
25 sir
25 sea
25 pay
25 bad
22 buy
21 pot
21 job
21 cat
20 van
20 ten
20 mud
18 hot
18 dim
17 fit
16 sun
16 mad
15 men
15 bag
14 tea
13 lit
13 fat
13 cut
13 cup
12 pop
12 met
12 bin
12 bar
11 wet
11 per
11 add
10 tie
10 son
10 oak
10 fed
10 bow
9 oil
9 nod
9 leg
9 key
9 age
8 wad
8 six
8 sad
8 guy
8 fly
8 bet
7 war
7 tin
7 rid
7 rap
7 pen
7 map
7 ear
7 don
7 cry
7 caf
7 beg
7 act
6 tip
6 pub
6 lie
6 ill
6 eat
6 dog
5 via
5 owe
5 nor
5 lip
5 jet
5 gas
5 fun
5 due
5 art
4 pig
4 pie
4 pad
4 joy
4 fag
4 cab
4 awe
3 win
3 tug
3 sum
3 sip
3 row
3 lid
3 law
3 kid
3 jam
3 ice
3 hum
3 hug
3 gap
3 fur
3 fix
2 yew
2 won
2 web
2 wax
2 wan
2 vim
2 toy
2 sue
2 rip
2 rim
2 pit
2 pat
2 non
2 mix
2 max
2 lug
2 jaw
2 icy
2 hid
2 hay
2 gin
2 gag
2 fig
2 ebb
2 dig
2 die
2 cap
2 bob
2 bid
2 ate
2 aim
2 aid
1 zip
1 wry
1 wit
1 vat
1 urn
1 tum
1 tow
1 ton
1 ted
1 tan
1 sob
1 sly
1 sex
1 rum
1 rug
1 rub
1 rot
1 rom
1 rod
1 rly
1 rev
1 rat
1 onx
1 obf
1 oaf
1 nut
1 nag
1 mug
1 mor
1 mle
1 med
1 maw
1 lap
1 kir
1 jug
1 jar
1 ivy
1 ion
1 hop
1 hob
1 hip
1 ham
1 hag
1 gym
1 gun
1 gel
1 flu
1 fey
1 fee
1 egg
1 eff
1 eel
1 eek
1 dug
1 dry
1 dow
1 din
1 dew
1 dep
1 den
1 coy
1 cow
1 cod
1 cnd
1 bus
1 bun
1 bra
1 bat
1 bal
1 axe
1 ash
1 ane
1 alt
1 ads
Well this is looking much more hopeful I think, and we can immediately rule out the most common words like 'the' and 'and'.
I mean, Mr G would be left feeling pretty foolish if he had chosen 'the', and someone guessed 'the' on their first try.
In fact, the same thing is true of the next several words on the list.
Actually one has to go quite far down the list before the words start getting interesting. But I still can't imagine G choosing a word like "why, too, has, day".
Let us go on a bit further ... "our may ask top try" ... still pretty boring ... "big yet hat god" ... wait, I think we might have gone too far. The chances of Mr G choosing 'god' are basically nil.
But what about that word sitting right in front of 'god'. It has a nice smell to it and a definite Castanedan ring, which is more than can be said for any of the other words we've had so far. Also, it is the name of our sister forum.
I think this should be our first choice. Let us plug it in to Mr G's algorithm and see what happens.