Pennsylvania Lottery Big 4 game sum statistics - frequencies, hot and cold sums, late and very late sums.

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

The Pennsylvania Lottery Big 4 sums analysis involves two sets of data. The first is the number of times a sums is drawn for the entire history of the game while the second set is how many draws have elapsed since a Big 4 sums's last appearance. Whether sums are included as a play type of the state's game or not, these analyses coupled with others, such as digits and pairs analyses, will hopefully help you select the numbers to play.

Big 4 sum analysis is more complex than digits or pairs analysis since "Not all sums are created equal". Sum of 18 is the most likely to be drawn since it covers 670 numbers (see table below). On the other hand, 0 and 36 are the least likely since each covers only one number, 0000 and 9999, respectively. Therefore, for every 10000 draws, while sums of 18 can fall 670 times, sums of 0 and 36 are expected only once. A general description of 4-digit sums together with the sum values and the list of numbers having that sum can be found at 4-digit sums of this web site.



The sum analysis for Pennsylvania Big 4 was performed on Friday, April 18, 2014 with 2893 as the latest number. The sum of the digits of this number is 22.
The analyses results are summarized in the table below.

SumHow many Numbers
have this Sum
FrequencyLast Appearance
ActualExpectedFactorActualExpected
01010.99-10000
14360.9710962500
21020141.064581000
32021290.922136500
43550510.9934286
55684811.0326179
6841191220.9732119
71201791741.051683
81652572391.183161
92203263191.07945
102824314081.231035
113485205041.161329
124155646010.631424
134807186951.234421
145408177821.35319
155928218580.634717
166339039170.861116
176609509560.942715
186709819701.11115
196609399560.832815
206338989170.812516
215928148580.56217
225407887821.06019
234806746950.79621
244156046011.03724
253484745040.74029
262824324081.241235
272203143190.952245
281652532391.1415661
291202071741.3310683
30841311221.09235119
315676810.9548179
323557511.0696286
332038291.094500
341017141.034111000
354560.9919802500
361010.99-10000

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.




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