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IntroductionInstall game com review. The Gambler's Fallacy is the mistaken belief that if an independent event has not happened in a long time, then it becomes overdue and more likely. It is also equally incorrect that if an outcome has happened a disproportionate number of times lately, compared to statistical expectations, then it becomes overheated and less likely to occur the next time. An example of this fallacious thinking might be that if the number 23 hasn't been drawn in a 6-49 lottery the last 100 games, then it becomes more likely to be drawn during the next drawing. 
 Many worthless betting strategies and systems are based on belief in the Gambler's Fallacy. I got the idea for writing about this after reading an 888 online roulette article by Frank Scoblete entitled How to Take Advantage of Roulette Hot Spots. In that article, Scoblete recommends taking a count of each outcome for 3,700 spins in single-zero roulette and 3,800 spins in double-zero roulette in the hunt for 'hot numbers.' Never mind that this would take about 100 hours to make this many observations, assuming the industry standard of 38 spins per hour.
 Before going further, let me say that I strongly believe modern roulette wheels made by top brands like Cammegh are extremely precise and any bias would be minuscule compared to the house advantage. Thus, testing a modern roulette for bias would be a total waste of time. Now, testing a 30-year-old hand-me-down wheel in a banana republic might be another story. However, you're on your own if you win a lot of money from said casino and try to leave with it.
18in Premium Bakelite Roulette Wheel With 2 Roulette Balls by Brybelly. Trademark Poker 16-inch Deluxe Roulette Set With Accessories. Although modern European roulette tables have 37 slots on the wheel, early tables had 38 thanks to two separate zero slots. This is the version that was brought to America, and is still used in American roulette today.
Slot machines for sale in michigan. That said, if you track 3,800 outcomes in single-zero roulette, the average number of times any number will hit is 3800/38=100. I ran a simulation of over 1.3 trillion spins, counting how many times each number was hit, sorting the outcomes to find the most frequent number and how many times it was observed, and keeping a count of how many times the most frequent number in each simulation was seen. 
Hottest Number in 3,800 Spins of Double-Zero RouletteAs a former actuary, I hate to use a layman's term like the 'hottest number,' but that is how gamblers talk so will go with that. That said, following are the results of the count of the hottest number in millions of 3800-spin simulations. 
Count of the Hottest Number in 3,800 Spins on Double-Zero WheelStatisticValue
 Mean  122.02 
 Median  121 
 Mode  120 
 90th Percentile  128 
 95th Percentile  131 
 99th Percentile  136 
 99.9th Percentile  142 
Here is what the table above means in plain simple English. 
The mean, or average, count of the hottest number is 122.02. 
The median count of the most frequent number is 121. This means that over 50% of time the most frequent number appeared 121 times or less, as well as 121 times or more. This is possible because the probability of 121 observations is in both groups. 
The mode, or most count of the hottest number is 120, which happens 8.29% of the time. 
The 90th percentile is the smallest number such that the probability the count of the hottest number is at least 90% .
The 95th percentile is the smallest number such that the probability the count of the hottest number is at least 95%. 
The 99th percentile is the smallest number such that the probability the count of the hottest number is at least 99%. 
The 99.9th percentile is the smallest number such that the probability the count of the hottest number is at least 99.9%. 
Hottest Number in 3,700 Spins of Single-Zero RouletteThe results are very similar with 3,700 spins tracked on a single-zero wheel. Following is a summary of the results. 
Count of the Hottest Number in 3,700 Spins on Single-Zero WheelStatisticValue
 Mean  121.90 
 Median  121 
 Mode  120 
 90th Percentile  128 
 95th Percentile  131 
 99th Percentile  136 
 99.9th Percentile  142 
The following table shows the full results of the simulation on both wheels. The two commulative columns show the probability that the count of the hottest number is the number on the left column or more. For example, the probability the hottest number in 3,700 spins of single-zero roulette is 130 or more is 0.072044. 
Summary of the Count of the Hottest Number in 3,700 Spins of Single-Zero Roulette and 3,800 spins of Double-Zero RouletteCountProbability
Single ZeroCummulative
Single ZeroProbability
Double ZeroCummulative
Double Zero
 160 or More  0.000001  0.000001  0.000001  0.000001 
 159  0.000000  0.000001  0.000000  0.000001 
 158  0.000001  0.000001  0.000001  0.000001 
 157  0.000001  0.000002  0.000001  0.000002 
 156  0.000001  0.000003  0.000001  0.000003 
 155  0.000002  0.000005  0.000002  0.000005 
 154  0.000003  0.000009  0.000003  0.000008 
 153  0.000005  0.000013  0.000005  0.000013 
 152  0.000007  0.000020  0.000008  0.000021 
 151  0.000012  0.000032  0.000012  0.000033 
 150  0.000017  0.000049  0.000018  0.000051 
 149  0.000026  0.000075  0.000027  0.000077 
 148  0.000038  0.000114  0.000041  0.000118 
 147  0.000060  0.000174  0.000062  0.000180 
 146  0.000091  0.000265  0.000092  0.000273 
 145  0.000132  0.000397  0.000137  0.000409 
 144  0.000195  0.000592  0.000199  0.000608 
 143  0.000282  0.000874  0.000289  0.000898 
 142  0.000409  0.001283  0.000421  0.001319 
 141  0.000580  0.001863  0.000606  0.001925 
 140  0.000833  0.002696  0.000860  0.002784 
 139  0.001186  0.003882  0.001215  0.003999 
 138  0.001652  0.005534  0.001704  0.005703 
 137  0.002315  0.007849  0.002374  0.008077 
 136  0.003175  0.011023  0.003286  0.011363 
 135  0.004355  0.015378  0.004489  0.015852 
 134  0.005916  0.021295  0.006088  0.021940 
 133  0.007939  0.029233  0.008196  0.030136 
 132  0.010601  0.039834  0.010908  0.041044 
 131  0.013991  0.053824  0.014384  0.055428 
 130  0.018220  0.072044  0.018757  0.074185 
 129  0.023498  0.095542  0.024114  0.098299 
 128  0.029866  0.125408  0.030603  0.128901 
 127  0.037288  0.162696  0.038228  0.167130 
 126  0.045771  0.208467  0.046898  0.214027 
 125  0.055165  0.263632  0.056310  0.270337 
 124  0.064853  0.328485  0.066020  0.336357 
 123  0.074178  0.402662  0.075236  0.411593 
 122  0.081929  0.484591  0.082885  0.494479 
 121  0.087158  0.571750  0.087696  0.582174 
 120  0.088520  0.660269  0.088559  0.670734 
 119  0.084982  0.745252  0.084406  0.755140 
 118  0.076454  0.821705  0.075245  0.830385 
 117  0.063606  0.885312  0.061851  0.892236 
 116  0.048069  0.933381  0.046111  0.938347 
 115  0.032432  0.965813  0.030604  0.968952 
 114  0.019117  0.984930  0.017664  0.986616 
 113  0.009567  0.994496  0.008614  0.995230 
 112  0.003894  0.998390  0.003420  0.998650 
 111  0.001257  0.999647  0.001065  0.999715 
 110  0.000297  0.999944  0.000243  0.999958 
 109  0.000050  0.999994  0.000038  0.999996 
 108 or Less  0.000006  1.000000  0.000004  1.000000 
Count of the Hottest Numbers in 300 Spins in Double-Zero RouletteWhat if you don't want to spend 100 hours gathering data on a single wheel? Some casinos are kind enough to give you, on a silver platter, the number of times in the last 300 spins the four 'hottest' and 'coolest' numbers occurred. The image at the top of the page shows an example taken on a double-zero wheel at the Venetian. 
In 300 spins, the average number of wins on a double-zero wheel for any number is 300/38=7.9. As you can see from the image above, the four hottest numbers were 20, 5, 29, and 2, which occurred 15, 14, 13, and 12 times respectively. Is this unusual? No. In a simulation of over 80 billion spins, the most frequent number, in 300-spin experiments, appeared most frequently at 14 times with a probability of 27.4%. The most likely total of the second, third, and fourth most frequent numbers was 13, 12, and 12 times respectively, with probabilities of 37.9%, 46.5%, and 45.8%. So the results of the 'hottest' numbers in the image above were a little more flat than average. 
 The following table shows the probabilities of the four hottest numbers in 300 spins of double-zero roulette. For example, the probability the third most frequent number happens 15 times is 0.009210. Voice changer for computer free download.
Count of the Hottest Four Numbers in 300 Spins on a Double-Zero WheelObservationsProbability
Most FrequentProbability Second
 Most FrequentProbability Third 
Most FrequentProbability Fourth
 Most Frequent
 25 or More  0.000022  0.000000  0.000000  0.000000 
 24  0.000051  0.000000  0.000000  0.000000 
 23  0.000166  0.000000  0.000000  0.000000 
 22  0.000509  0.000000  0.000000  0.000000 
 21  0.001494  0.000001  0.000000  0.000000 
 20  0.004120  0.000009  0.000000  0.000000 
 19  0.010806  0.000075  0.000000  0.000000 
 18  0.026599  0.000532  0.000003  0.000000 
 17  0.060526  0.003263  0.000060  0.000001 
 16  0.123564  0.016988  0.000852  0.000020 
 15  0.212699  0.071262  0.009210  0.000598 
 14  0.274118  0.215025  0.068242  0.011476 
 13  0.212781  0.379097  0.283768  0.117786 
 12  0.067913  0.270747  0.464748  0.457655 
 11  0.004615  0.042552  0.168285  0.383900 
 10  0.000017  0.000448  0.004830  0.028544 
 9  0.000000  0.000000  0.000001  0.000020 
 Total  1.000000  1.000000  1.000000  1.000000 
The next table shows the mean, median, and mode for the count of the first, second, third, and fourth hottest numbers in millions of 300-spin simulations of double-zero roulette. 
Summary of the Count of the Four Most Frequent Numbers in 300 Spins of Double-Zero WheelOrderMeanMedianMode
 First  14.48  14  14 
 Second  13.07  13  13 
 Third  12.27  12  12 
 Fourth  11.70  12  12 
Count of the Coolest Numbers in 300 Spins in Double-Zero RouletteThe next table shows the probability of each count of the four collest numbers in 300 spins of double-zero roulette. 
Count of the Coolest Four Numbers in 300 Spins on a Double-Zero WheelObservationsProbability Least
FrequentProbability Second 
Least FrequentProbability Third 
Least FrequentProbability Fourth 
Least Frequent
 0  0.012679  0.000063  0.000000  0.000000 
 1  0.098030  0.005175  0.000135  0.000002 
 2  0.315884  0.088509  0.012041  0.001006 
 3  0.416254  0.420491  0.205303  0.063065 
 4  0.150220  0.432638  0.595139  0.522489 
 5  0.006924  0.052945  0.185505  0.401903 
 6  0.000008  0.000180  0.001878  0.011534 
 Total  1.000000  1.000000  1.000000  1.000000 
The next table shows the mean, median, and mode for the count of the first, second, third, and fourth coolest numbers in the 300-spin simulations of double-zero roulette. 
Roulette Wheel SimulatorSummary of the count of the Four Least Frequent Numbers on a Double-Zero WheelOrderMeanMedianMode
 Least  2.61  3  3 
 Second Least  3.44  3  4 
 Third Least  3.96  4  4 
 Fourth Least  4.36  4  4 

Statistic	Value
Mean	122.02
Median	121
Mode	120
90th Percentile	128
95th Percentile	131
99th Percentile	136
99.9th Percentile	142

Statistic	Value
Mean	121.90
Median	121
Mode	120
90th Percentile	128
95th Percentile	131
99th Percentile	136
99.9th Percentile	142

Count	Probability Single Zero	Cummulative Single Zero	Probability Double Zero	Cummulative Double Zero
160 or More	0.000001	0.000001	0.000001	0.000001
159	0.000000	0.000001	0.000000	0.000001
158	0.000001	0.000001	0.000001	0.000001
157	0.000001	0.000002	0.000001	0.000002
156	0.000001	0.000003	0.000001	0.000003
155	0.000002	0.000005	0.000002	0.000005
154	0.000003	0.000009	0.000003	0.000008
153	0.000005	0.000013	0.000005	0.000013
152	0.000007	0.000020	0.000008	0.000021
151	0.000012	0.000032	0.000012	0.000033
150	0.000017	0.000049	0.000018	0.000051
149	0.000026	0.000075	0.000027	0.000077
148	0.000038	0.000114	0.000041	0.000118
147	0.000060	0.000174	0.000062	0.000180
146	0.000091	0.000265	0.000092	0.000273
145	0.000132	0.000397	0.000137	0.000409
144	0.000195	0.000592	0.000199	0.000608
143	0.000282	0.000874	0.000289	0.000898
142	0.000409	0.001283	0.000421	0.001319
141	0.000580	0.001863	0.000606	0.001925
140	0.000833	0.002696	0.000860	0.002784
139	0.001186	0.003882	0.001215	0.003999
138	0.001652	0.005534	0.001704	0.005703
137	0.002315	0.007849	0.002374	0.008077
136	0.003175	0.011023	0.003286	0.011363
135	0.004355	0.015378	0.004489	0.015852
134	0.005916	0.021295	0.006088	0.021940
133	0.007939	0.029233	0.008196	0.030136
132	0.010601	0.039834	0.010908	0.041044
131	0.013991	0.053824	0.014384	0.055428
130	0.018220	0.072044	0.018757	0.074185
129	0.023498	0.095542	0.024114	0.098299
128	0.029866	0.125408	0.030603	0.128901
127	0.037288	0.162696	0.038228	0.167130
126	0.045771	0.208467	0.046898	0.214027
125	0.055165	0.263632	0.056310	0.270337
124	0.064853	0.328485	0.066020	0.336357
123	0.074178	0.402662	0.075236	0.411593
122	0.081929	0.484591	0.082885	0.494479
121	0.087158	0.571750	0.087696	0.582174
120	0.088520	0.660269	0.088559	0.670734
119	0.084982	0.745252	0.084406	0.755140
118	0.076454	0.821705	0.075245	0.830385
117	0.063606	0.885312	0.061851	0.892236
116	0.048069	0.933381	0.046111	0.938347
115	0.032432	0.965813	0.030604	0.968952
114	0.019117	0.984930	0.017664	0.986616
113	0.009567	0.994496	0.008614	0.995230
112	0.003894	0.998390	0.003420	0.998650
111	0.001257	0.999647	0.001065	0.999715
110	0.000297	0.999944	0.000243	0.999958
109	0.000050	0.999994	0.000038	0.999996
108 or Less	0.000006	1.000000	0.000004	1.000000

Observations	Probability Most Frequent	Probability Second Most Frequent	Probability Third Most Frequent	Probability Fourth Most Frequent
25 or More	0.000022	0.000000	0.000000	0.000000
24	0.000051	0.000000	0.000000	0.000000
23	0.000166	0.000000	0.000000	0.000000
22	0.000509	0.000000	0.000000	0.000000
21	0.001494	0.000001	0.000000	0.000000
20	0.004120	0.000009	0.000000	0.000000
19	0.010806	0.000075	0.000000	0.000000
18	0.026599	0.000532	0.000003	0.000000
17	0.060526	0.003263	0.000060	0.000001
16	0.123564	0.016988	0.000852	0.000020
15	0.212699	0.071262	0.009210	0.000598
14	0.274118	0.215025	0.068242	0.011476
13	0.212781	0.379097	0.283768	0.117786
12	0.067913	0.270747	0.464748	0.457655
11	0.004615	0.042552	0.168285	0.383900
10	0.000017	0.000448	0.004830	0.028544
9	0.000000	0.000000	0.000001	0.000020
Total	1.000000	1.000000	1.000000	1.000000

Order	Mean	Median	Mode
First	14.48	14	14
Second	13.07	13	13
Third	12.27	12	12
Fourth	11.70	12	12

Observations	Probability Least Frequent	Probability Second Least Frequent	Probability Third Least Frequent	Probability Fourth Least Frequent
0	0.012679	0.000063	0.000000	0.000000
1	0.098030	0.005175	0.000135	0.000002
2	0.315884	0.088509	0.012041	0.001006
3	0.416254	0.420491	0.205303	0.063065
4	0.150220	0.432638	0.595139	0.522489
5	0.006924	0.052945	0.185505	0.401903
6	0.000008	0.000180	0.001878	0.011534
Total	1.000000	1.000000	1.000000	1.000000

Order	Mean	Median	Mode
Least	2.61	3	3
Second Least	3.44	3	4
Third Least	3.96	4	4
Fourth Least	4.36	4	4

Count of the Hottest Numbers in 300 Spins of Single-Zero RouletteIn 300 spins, the average number of wins on a single-zero wheel for any number is 300/37=8.11. The next table shows the probability of each count of the four coolest numbers in 300 spins of double-zero roulette. For example, the probability the third most frequent number happens 15 times is 0.015727. 
Count of the Hottest Four Numbers in 300 Spins on a Single-Zero WheelObservationsProbability
Most FrequentProbability Second
 Most FrequentProbability Third 
Most FrequentProbability Fourth
 Most Frequent
 25 or More  0.000034  0.000000  0.000000  0.000000 
 24  0.000078  0.000000  0.000000  0.000000 
 23  0.000245  0.000000  0.000000  0.000000 
 22  0.000728  0.000000  0.000000  0.000000 
 21  0.002069  0.000002  0.000000  0.000000 
 20  0.005570  0.000018  0.000000  0.000000 
 19  0.014191  0.000135  0.000000  0.000000 
 18  0.033833  0.000905  0.000008  0.000000 
 17  0.074235  0.005202  0.000125  0.000001 
 16  0.144490  0.025286  0.001624  0.000050 
 15  0.232429  0.097046  0.015727  0.001286 
 14  0.269735  0.259360  0.101259  0.021054 
 13  0.177216  0.382432  0.347102  0.175177 
 12  0.043266  0.208137  0.429715  0.508292 
 11  0.001879  0.021373  0.102979  0.283088 
 10  0.000003  0.000103  0.001461  0.011049 
 9  0.000000  0.000000  0.000000  0.000002 
 Total  1.000000  1.000000  1.000000  1.000000 
The next table shows the mean, median, and mode for the count of the first, second, third, and fourth hottest numbers in millions of 300-spin simulations of double-zero roulette. 

Observations	Probability Most Frequent	Probability Second Most Frequent	Probability Third Most Frequent	Probability Fourth Most Frequent
25 or More	0.000034	0.000000	0.000000	0.000000
24	0.000078	0.000000	0.000000	0.000000
23	0.000245	0.000000	0.000000	0.000000
22	0.000728	0.000000	0.000000	0.000000
21	0.002069	0.000002	0.000000	0.000000
20	0.005570	0.000018	0.000000	0.000000
19	0.014191	0.000135	0.000000	0.000000
18	0.033833	0.000905	0.000008	0.000000
17	0.074235	0.005202	0.000125	0.000001
16	0.144490	0.025286	0.001624	0.000050
15	0.232429	0.097046	0.015727	0.001286
14	0.269735	0.259360	0.101259	0.021054
13	0.177216	0.382432	0.347102	0.175177
12	0.043266	0.208137	0.429715	0.508292
11	0.001879	0.021373	0.102979	0.283088
10	0.000003	0.000103	0.001461	0.011049
9	0.000000	0.000000	0.000000	0.000002
Total	1.000000	1.000000	1.000000	1.000000

Count of the Hottest Numbers in 300 Spins of Single-Zero RouletteIn 300 spins, the average number of wins on a single-zero wheel for any number is 300/37=8.11. The next table shows the probability of each count of the four coolest numbers in 300 spins of double-zero roulette. For example, the probability the third most frequent number happens 15 times is 0.015727. 
Count of the Hottest Four Numbers in 300 Spins on a Single-Zero WheelObservationsProbability
Most FrequentProbability Second
 Most FrequentProbability Third 
Most FrequentProbability Fourth
 Most Frequent
 25 or More  0.000034  0.000000  0.000000  0.000000 
 24  0.000078  0.000000  0.000000  0.000000 
 23  0.000245  0.000000  0.000000  0.000000 
 22  0.000728  0.000000  0.000000  0.000000 
 21  0.002069  0.000002  0.000000  0.000000 
 20  0.005570  0.000018  0.000000  0.000000 
 19  0.014191  0.000135  0.000000  0.000000 
 18  0.033833  0.000905  0.000008  0.000000 
 17  0.074235  0.005202  0.000125  0.000001 
 16  0.144490  0.025286  0.001624  0.000050 
 15  0.232429  0.097046  0.015727  0.001286 
 14  0.269735  0.259360  0.101259  0.021054 
 13  0.177216  0.382432  0.347102  0.175177 
 12  0.043266  0.208137  0.429715  0.508292 
 11  0.001879  0.021373  0.102979  0.283088 
 10  0.000003  0.000103  0.001461  0.011049 
 9  0.000000  0.000000  0.000000  0.000002 
 Total  1.000000  1.000000  1.000000  1.000000 
The next table shows the mean, median, and mode for the count of the first, second, third, and fourth hottest numbers in millions of 300-spin simulations of double-zero roulette. 
Summary — Count of the Four Hottest Numbers — Double-Zero WheelOrderMeanMedianMode
 First  14.74  15  14 
 Second  13.30  13  13 
 Third  12.50  12  12 
 Fourth  11.92  12  12 
Count of the Coolest Numbers in 300 Spins in Single-Zero RouletteThe next table shows the probability of each count of the four coolest numbers in 300 spins of double-zero roulette. For example, the probability the third coolest numbers will be observed five times is 0.287435. 
Euro Roulette WheelsCount of the Coolest Four Numbers in 300 Spins on a Double-Zero WheelObservationsProbability Least
FrequentProbability Second 
Least FrequentProbability Third 
Least FrequentProbability Fourth 
Least Frequent
 0  0.009926  0.000038  0.000000  0.000000 
 1  0.079654  0.003324  0.000068  0.000001 
 2  0.275226  0.062392  0.006791  0.000448 
 3  0.419384  0.350408  0.140173  0.034850 
 4  0.200196  0.484357  0.557907  0.406702 
 5  0.015563  0.098547  0.287435  0.521238 
 6  0.000050  0.000933  0.007626  0.036748 
 7  0.000000  0.000000  0.000001  0.000013 
 Total  1.000000  1.000000  1.000000  1.000000 
The next table shows the mean, median, and mode for the count of the first, second, third, and fourth coolest numbers in the 300-spin simulations of single-zero roulette. 
Summary of the count of the Four Least Frequent Numbers on a Single-Zero WheelOrderMeanMedianMode
 Least  2.77  3  3 
 Second Least  3.62  4  4 
 Third Least  4.15  4  4 
 Fourth Least  4.56  5  5 
The least I hope you have learned from this article is it is to be expected that certain numbers will come up more than others. To put it in other words, it is natural that some numbers will be 'hot' and some 'cool.' In fact, such differences from the mean are highly predictable. Unfortunately, for roulette players, we don't know which numbers will be 'hot,' just that some of them almost certainly will be. I would also like to emphasize, contrary to the Gambler's Fallacy, that on a fair roulette wheel that every number is equally likely every spin and it makes no difference what has happened in the past.
 Finally, it should not be interpreted that we give an endorsement to the 888 Casino, which we linked to earlier. I am very bothered by this rule in their rule 6.2.B. Before getting to that, let me preface with a quote from rule 6.1, which I'm fine with.
Roulette Wheel Layout 'If we reasonably determine that you are engaging in or have engaged in fraudulent or unlawful activity or conducted any prohibited transaction (including money laundering) under the laws of any jurisdiction that applies to you (examples of which are set out at section 6.2 below), any such act will be considered as a material breach of this User Agreement by you. How do i remove a game from facebook. In such case we may close your account and terminate the User Agreement in accordance with section 14 below and we are under no obligation to refund to you any deposits, winnings or funds in your account.' -- Rule 6.1
 Let's go further now:
 The following are some examples of 'fraudulent or unlawful activity' -- Rule 6.2
 Next, here is one of many examples listed as rule 6.2.B
 'Unfair Betting Techniques: Utilising any recognised betting techniques to circumvent the standard house edge in our games, which includes but is not limited to martingale betting strategies, card counting as well as low risk betting in roulette such as betting on red/black in equal amounts.' -- Rule 6.2.B 
 Let me make it perfectly clear that all betting systems, including the Martingale, not only can't circumvent the house edge, they can't even dent it. It is very mathematically ignorant on the part of the casino to fear any betting system. Why would any player trust this casino when the casino can seize all their money under the reason that the player was using a betting system? Any form of betting could be called a betting system, including flat betting. Casino 888 normally has a pretty good reputation, so I'm surprised they would lower themselves to this kind of rogue rule. 

Written by: Michael Shackleford

Observations	Probability Least Frequent	Probability Second Least Frequent	Probability Third Least Frequent	Probability Fourth Least Frequent
0	0.009926	0.000038	0.000000	0.000000
1	0.079654	0.003324	0.000068	0.000001
2	0.275226	0.062392	0.006791	0.000448
3	0.419384	0.350408	0.140173	0.034850
4	0.200196	0.484357	0.557907	0.406702
5	0.015563	0.098547	0.287435	0.521238
6	0.000050	0.000933	0.007626	0.036748
7	0.000000	0.000000	0.000001	0.000013
Total	1.000000	1.000000	1.000000	1.000000

Order	Mean	Median	Mode
Least	2.77	3	3
Second Least	3.62	4	4
Third Least	4.15	4	4
Fourth Least	4.56	5	5