Scrabble - TheChalkface
Scrabble
In Scrabble, players pick letter tiles at random from a bag of 100 tiles. Some letters are more common in English, so there are more of them in the game.
Events are mutually exclusive if they cannot happen at the same time. The chance of one or
the other happening can be found by adding each probability. Eg: chance of an S or a Blank on the first tile: 4 + 2 = 6 .
100 100 100
Events are independent if they do not affect one another. The chance of these events all
happening can be found by multiplying their probabilities.
Eg:
chance
of
the
first
tile
being
an
E
for
two
games
in
a
row:
12 100
?
12 100
=
10104040.
If events are not independent then a tree diagram can be used to work out what the different
probabilities would be before multiplying. Eg: chance of the first four tiles drawn all being A: 9 ? 8 ? 7 ? 6 = 3024 .
100 99 98 97 94109400
Tile
Blank A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Total:
Frequency
2 9 2 2 4 12 2 3 2 9 1 1 4 2 6 8 2 1 6 4 6 4 2 2 1 2 1 100
1. What is the chance of drawing a vowel for the first letter?
2. I play four games of scrabble. What is the chance of getting a vowel for the first letter in all four games?
3. I draw 7 tiles at the start of a game. What is the chance that they are all vowels?
4. Towards the end of the game, there are only 5 tiles left in the bag ? a K, two Es, a blank and a T. I pick out two tiles. What is the chance that I get the blank? What is the chance that I don't?
5. I draw three tiles from the bag at the start of a game. What is the chance that one of them is a Z? Hint: First work out the chance of not getting a Z at all.
Scrabble SOLUTIONS
Tile
Blank A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Total:
Frequency
2 9 2 2 4 12 2 3 2 9 1 1 4 2 6 8 2 1 6 4 6 4 2 2 1 2 1 100
1. What is the chance of drawing a vowel for the first letter?
( ) = () + () + () + () + () = 9% + 12% + 9% + 8% + 4% = %
2. I play four games of scrabble. What is the chance of getting a vowel for the first letter in all four games?
(4) = () ? () ? () ? () = 0.42 ? 0.42 ? 0.42 ? 0.42 = 0.03111696 . %
3. I draw 7 tiles at the start of a game. What is the chance that they are all vowels?
42 41 40 39 38 37 36 100 ? 99 ? 98 ? 97 ? 96 ? 95 ? 94 . . %
4. Towards the end of the game, there are only 5 tiles left in the bag ? a K, two Es, a blank and a T. I pick out two tiles. What is the chance that I get the blank? What is the chance that I don't?
No
blank:
(
)
=
4 5
?
3 4
=
Blank:
1
-
3 5
=
5. I draw three tiles from the bag at the start of a game. What is the chance that one of them is a Z? Hint: First work out the chance of not getting a Z at all.
99 98 97 97 ( ) = 100 ? 99 ? 98 = 100
(
3)
=
1
-
(
)
=
1
-
97 100
=
3 100
=
%
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- word work freebie fun okaloosa county school district
- the story of scrabble winning moves
- scrabble letter tiles a kizclub
- x christmas word scramble x
- scrabble words list pdf
- scrabble thechalkface
- scrabble assistant stanford university
- scrabble pacer
- new collins scrabble words initiation kit
- two and three n a s scrabble letter words 1 2 players
Related searches
- scrabble word finder scrabble cheat
- scrabble word finder
- official scrabble dictionary 2019
- scrabble new words 2019
- scrabble word list download
- printable official scrabble word lists
- scrabble z words
- scrabble word lists
- make scrabble words from letters
- scrabble word finder dictionary
- make a scrabble puzzle
- hasbro scrabble word finder