Annuity Cashflow Calculator - Shows yearly annuity payments and tax implications
Probability of Winning - Shows chances of multiple winners or why jackpots are not always won
Many people believe that certain numbers are drawn more frequntly than others, and that others are selected less often. These are often referred to as: Hot and Cold numbers. In order to help players identify these, many lotteries provide Frequency Tables.
However, when trying to interpret this information, players are faced with the several problems and questions. First, does this data indicate that these numbers perform better or worse over the long run? Or, is this simply a function of short term trends? Second, the format of certain games has changed over time. Balls are added and deleted. How can we normalize this information to account for the fact that certain balls have been present longer that others? Third, is this statistical data meaningful?
To help answer these questions, we have prepared this analysis which contains four panels. Window TX6-1 in the lower left displays a tabular analysis of the most common white and Bonus lottery balls. The total occurances of each ball is shown for: 3 Month, 6 Month, 1 Year, 2 Year, and All Time terms. The cells are color coded to illustrate numbers that are: Cold (Blue), Cool (Light Blue), Warm (Light Red), and Hot (Red). The non-shaded numbers are neutral.
Hotness and Coldness is assigned utilizing a weighted statistical analysis which involves first determining the expected number of occurances, and then calculating the actual observed deviations. This data is shown in Window TX6-2. The graph displayed in Window TX6-3 shows a normal probability distribution. This is an important concept of randomness because we know that there will be an expected amount of noise (or deviation) whenever such events are measured.
Lastly, Window TX6-4 puts it all together by summarizing how often the lottery jackpots would be won if a player limits his playing numbers to certain subsets: Hot, Cold, Hot + Cold, Neutral, and Neutral + Hot. These tables only show the highest prizes that would be won, not the sum of all the prizes.