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

# 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 Wednesday, December 11, 2013 with 8536 as the latest number. The sum of the digits of this number is 22.
The analyses results are summarized in the table below.

 Sum How many Numbers have this Sum Frequency Last Appearance Actual Expected Factor Actual Expected 0 1 0 1 0.99 - 10000 1 4 3 6 0.97 840 2500 2 10 20 14 1.06 202 1000 3 20 21 28 0.93 1880 500 4 35 48 50 0.98 766 286 5 56 82 80 1.02 24 179 6 84 116 120 0.96 16 119 7 120 173 171 1.02 153 83 8 165 251 235 1.16 17 61 9 220 319 313 1.06 7 45 10 282 423 401 1.22 36 35 11 348 506 495 1.11 44 29 12 415 552 591 0.61 68 24 13 480 706 683 1.23 6 21 14 540 803 768 1.35 1 19 15 592 804 842 0.62 26 17 16 633 888 901 0.87 13 16 17 660 942 939 1.03 4 15 18 670 968 953 1.15 8 15 19 660 920 939 0.81 5 15 20 633 887 901 0.86 18 16 21 592 805 842 0.63 28 17 22 540 766 768 0.98 0 19 23 480 664 683 0.81 12 21 24 415 598 591 1.07 30 24 25 348 461 495 0.66 11 29 26 282 422 401 1.21 41 35 27 220 310 313 0.97 58 45 28 165 252 235 1.17 2 61 29 120 200 171 1.29 88 83 30 84 130 120 1.1 3 119 31 56 74 80 0.94 85 179 32 35 56 50 1.06 361 286 33 20 37 28 1.09 416 500 34 10 17 14 1.03 155 1000 35 4 5 6 0.99 1724 2500 36 1 0 1 0.99 - 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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