SCRABBLE® is a word game in which two to four players score points by forming words from individual lettered tiles on a game board marked with a 15-by-15 grid. The words are formed across and down in crossword-puzzle fashion and must appear in a standard dictionary. There are 100 tiles in all, including 2 blank tiles that serve as wild cards and can take on the value of any letter. Frequency of the SCRABBLE Letter Tiles A 9
B 1
C 4
D 2
E 1
F 6
G 2
H 4
I 4
J 4
K 2
L 2
M 12
N 6
O 2
P 2
Q 8
R 1
S 3
T 2
U 2
V 2
W 1
X 1
Y 9
Z 6
Blank 2 1. Fill in the probabilities. Enter your answers as decimals, and assume that you are sampling with replacement.
Every time you select a new tile, you write its letter down next to the letter you drew previously. Because you are sampling the pot with replacement, each draw of a tile is an independent event. Select a tile, write down Its letter, and return it to the pot. Do this three times. What is the probability that the three letters you write down (in order) spell "aid" (without the use of a blank tile)? Repeat your experiment, but this time select tiles, write letters, and return tiles four times. What Is the probability that the four letters you write down (in order) spell "tile" (without the use of a blank tile)?