Scrabble #3 or Do you even math bro?

gah, this is a nightmare. the stuff i used to be able to do pre calculators, and now i just cant get my head around it.

ok, so, there are 100 tiles in basic english version.
as seen here.
the original math i was trying to do, was, what are the odds, of drawing all 7 a's as first hand :P
if 100999897969594 ( n(100) -1)
80,678,106,432,000
IF there was 100 different chars, but there isnt.

letter	count	?scarcity?
a	9	11.1111111111
b	2	50
c	2	50
d	4	25
e	12	8.3333333333
f	2	50
g	3	33.3333333333
h	2	50
I	9	11.1111111111
j	1	100
k	1	100
l	4	25
m	2	50
n	6	16.6666666667
o	8	12.5
p	2	50
q	1	100
r	6	16.6666666667
s	4	25
t	6	16.6666666667
u	4	25
v	2	50
w	2	50
x	1	100
y	2	50
z	1	100
*	2	50

#	%	#	%	#	%	#	%
100	1	99	1.0101010101	98	1.0204081633	97	1.0309278351
96	1.0416666667	95	1.0526315789	94	1.0638297872	93	1.0752688172
92	1.0869565217	91	1.0989010989	90	1.1111111111	89	1.1235955056
88	1.1363636364	87	1.1494252874	86	1.1627906977	85	1.1764705882
84	1.1904761905	83	1.2048192771	82	1.2195121951	81	1.2345679012
80	1.25	79	1.2658227848	78	1.2820512821	77	1.2987012987
76	1.3157894737	75	1.3333333333	74	1.3513513514	73	1.3698630137
72	1.3888888889	71	1.4084507042	70	1.4285714286	69	1.4492753623
68	1.4705882353	67	1.4925373134	66	1.5151515152	65	1.5384615385
64	1.5625	63	1.5873015873	62	1.6129032258	61	1.6393442623
60	1.6666666667	59	1.6949152542	58	1.724137931	57	1.7543859649
56	1.7857142857	55	1.8181818182	54	1.8518518519	53	1.8867924528
52	1.9230769231	51	1.9607843137	50	2	49	2.0408163265
48	2.0833333333	47	2.1276595745	46	2.1739130435	45	2.2222222222
44	2.2727272727	43	2.3255813953	42	2.380952381	41	2.4390243902
40	2.5	39	2.5641025641	38	2.6315789474	37	2.7027027027
36	2.7777777778	35	2.8571428571	34	2.9411764706	33	3.0303030303
32	3.125	31	3.2258064516	30	3.3333333333	29	3.4482758621
28	3.5714285714	27	3.7037037037	26	3.8461538462	25	4
24	4.1666666667	23	4.347826087	22	4.5454545455	21	4.7619047619
20	5	19	5.2631578947	18	5.5555555556	17	5.8823529412
16	6.25	15	6.6666666667	14	7.1428571429	13	7.6923076923
12	8.3333333333	11	9.0909090909	10	10	9	11.1111111111
8	12.5	7	14.2857142857	6	16.6666666667	5	20
4	25	3	33.3333333333	2	50	1	100

as i said, still a work in progress.
such variable. many brainstrains.

pony out

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eonwarped (68) · 6 years ago

Is what I got.

Total number of ways to draw 7 tiles out of 100 where you don't care about the order of draw is 100 choose 7. Of those, there are 9 choose 7 configurations that have all A's (drawing the first 7 A's, the last 7 A's, etc....)

A delightful surprise that I can type that expression into Google.

$0.03

2 votes

dunstuff (60) · 6 years ago

nice. im using lotto generator to draw all 100, with each assigned a letter.
then realising 'game number' on each draw is '7 hands' so even the first game i try to math out, has so many different variables

$0.29

3 votes

carlgnash (69) · 6 years ago

Woah I had no idea you could type expressions like that into Google

$0.00