Pennsylvania Lottery Big 4 Sum of Digits - Frequency and Last Appearance

The sum analysis for Pennsylvania Big 4 was performed on Saturday, May 18, 2013 with 0918 as the latest number. The sum of the digits of this number is 18.
The analyses results are summarized in the table below.

The first column of the table is the sum value. The second column lists how many Big 4 numbers have a sum value of the first column. And what those numbers are will pop up when you place your mouse over it. (If you don't see the pop-up list, your browser might not support it; the same list is available here.) Note that only the box representations of the Big 4 numbers are listed. For example, corresponding to a sum of 3, three numbers are listed (0003, 0012, 0111). The first and the third are triples, therefore have 4 permutations each, and the second is a double, thus with 12 permutations So, 4 + 12 + 4 = 20 numbers have a sum of 3.

Both the Pennsylvania Lottery Big 4 'Frequency' and 'Last Appearance' parts of the above list contain the actual values as well as the expected values (rounded to their integral values). For the frequencies, a direct comparison of the two values will indicate if a Big 4 sum is more, or less frequently drawn than expected. We have also introduced another column designated as "Factor", which indicates how high or low the actual frequency is compared to the expected value. If the "Factor" is greater than 1, it means that the Big 4 sum is drawn more times than expected, and vice versa. If the two values are very close to each other, the Factor will be 1 or very close to 1.

The expected values of the "Last Appearance" culumn are actually how often that Pennsylvania Big 4 sum is expected to be drawn. For example, sums of 0 and 36 are expected every 10000 draws, while 17, 18 and 19 should show up every 15 draws. A very late Big 4 sum will have its actual value very much greater than the expected value. Just as an eye-catcher, we will show in blue those Pennsylvania Big 4 sums that are late by more than 1.5 times the expected time lapse, and in red, those that are late by more than twice this value.