hw03 ChE 132C due
Jan.26
, 2011
1)
A slot machine has three dials each with 20 symbols (cherries, oranges, lemons, plums,
bells, and bars).
Since each of the three dials may come to rest in any one of 20 positions there
are 20x20x20 = 8000 permutations possible.
The dials are set with the following numbers of
each symbol:
Dial I
Dial II
Dial III
Cherries
7
7
0
Oranges
3
6
7
Lemons
3
0
4
Plums
5
1
5
Bells
1
3
3
Bars
1
3
1
20
20
20
The following table gives the amounts that the house pays in dollars for each winning outcome.
Losing outcomes, for which the house pays nothing, are not listed.
Complete the table and enter the amount you
expect
to win after each trial in the gray box
(bottom left).
If it costs $1 to play, should you play this game?
probability
winning permutations
winnings
probability
* winnings
bar
bar
bar
62
bell
bell
bell
18
bell
bell
bar
18
plum
plum
plum
14
plum
plum
bar
14
orange
orange
orange
10
orange
orange
bar
10
cherry
cherry
lemon
5
cherry
cherry
bell
5
cherry
cherry
X
3
(all other permutations lose)
0
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 Spring '11
 PETERS
 Probability theory, Cherry, Prunus, Plum, bell bell bell, plum plum plum

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