District Of Columbia Lottery DC-5 general analysis on number patterns, grouping and probabilities

# District Of Columbia Lottery - DC-5 General Analysis

Updated on Friday, December 06, 2013

Several analyses can be performed on District Of Columbia Lottery DC-5 past winning numbers. However, while straight numbers analysis was reasonable for 3-digit games, where there are only 1,000 possible numbers. It was not that helpful in 4-digit games, where there are 10,000 possible numbers, since most of the numbers were not drawn yet. When it comes to the DC-5 (a 5-digit game), straights analysis is just out of the question even after thousands of draws; there are 100,000 numbers.

On the other hand, box (any arrangement of the digits) analysis is quite reasonable for both 3- and 4- digit games with a few hundreds of draws. But, for the DC-5, we still need a couple of thousands of draws to identify the hot and cold boxes.

In the mean time we shall only classify the 100,000 possible DC-5 numbers into the various types of boxes and list their respective probability.

 Box Type Description Example Combinations Numbers in this catagory Probability Non-repeating(120-way box) All 5 distinct digits 12345 252 30,240 30.24% One-repeating(Doubles)(60-way box) 3 distinct and one doubled 11234 840 50,400 50.4% Two-repeating(Dual-Doubles)(30-way box) 2 of the digits doubled 11223 360 10,800 10.8% Triple(20-way box) 1 of the digits tripled 11123 360 7,200 7.2% Double-Triple(10-way box) 1-doubled and 1-tripled 11122 90 900 0.9% Quadruples(5-way box) 1 of the digits quadrupled 11112 90 450 0.45% Quintuples(1-way only) All 5 digits identical 11111 10 10 0.01% Total 2002 100,000 100%

Note that while there are 100,000 distinct DC-5 numbers, there are only 2002 boxes (any arrangement of the digits). Moreover, numbers with one digit doubled are the most probable numbers to be drawn.

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