Scrabble Tiles
Posted on Thursday, September 2nd, 2010 at 10:41 amwhat is the probability of getting ABCDEFG in that order if you are 1st to draw 7 tiles in scrabble?
There are a total of 102 tiles in the bag. Since there are nine A-tiles, your probability of drawing an A first is 9/102. Since there are two B-tiles, your probability of drawing a B second is 2/101 (because the total number of tiles has decreased since your last draw). Continue this pattern on:
A: 9/102
B: 2/101
C: 2/100
D: 4/99
E: 12/98
F: 2/97
G: 3/96
Now multiply those fractions together and you get the answer!
Approximately: 103698 / 93,073,443,724,800
or: 0.00000000111
or: about one in a billion
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