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# Powerball Sums

Topic closed. 26 replies. Last post 10 years ago by Raven62.

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Warwick, R.I.
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 Posted: November 12, 2007, 9:37 am - IP Logged

Does anyone know how to calculate the Powerball sums? Is there anybody out there that has this list available?

COLUMBUS,GA.
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 Posted: November 12, 2007, 9:44 am - IP Logged

Does anyone know how to calculate the Powerball sums? Is there anybody out there that has this list available?

Are the Powerball Sums any different than any other games' sum? do a search on Sums. Add the digits, leave out Bonus ball!!

New Jersey
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 Posted: November 12, 2007, 2:45 pm - IP Logged

Does anyone know how to calculate the Powerball sums? Is there anybody out there that has this list available?

Add the numbers together to get the sum:
02+09+25+33+51=120

That would be one GIGANTIC List considering their are 175 million possible combinations.

A mind once stretched by a new idea never returns to its original dimensions!

- Eagle Sun - Quantum Master
West Concord, MN
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 Posted: November 12, 2007, 4:47 pm - IP Logged

Add the numbers together to get the sum:
02+09+25+33+51=120

That would be one GIGANTIC List considering their are 175 million possible combinations.

not really that would be from 1 + 2 + 3 + 4 + 5 = 15  to  51 + 52 + 53 + 54 + 55 = 265, a total of 251 resulting summed values to deal with.

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CA
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 Posted: November 12, 2007, 7:54 pm - IP Logged

5/55 sum frequency:

SumFrequencySumFrequencySumFrequencySumFrequencySumFrequency
15166403211631616166304122163507
16167431711732201167297962173266
17268461211832760168291592183034
18369492511933312169285222192818
19570524812033836170278672202611
20771559012134350171272142212418
211072594212234834172265462222233
221373631312335307173258822232062
231874669412435748174252052241898
242375709512536176175245352251747
253076750512636570176238542261602
263777793512736950177231812271469
274778837412837295178225002281342
285779883312937624179218292291226
297080930113037917180211522301115
308481978813138193181204862311014
3110182102831323843218219816232918
3211983107981333865318319159233831
3314184113201343883618418500234748
3416485118611353900118517855235674
3519286124081363912718617209236603
3622187129741373923418716579237540
3725588135451383930218815950238480
3829189141341393935118915337239427
3933390147271403936119014727240377
4037791153371413935119114134241333
4142792159501423930219213545242291
4248093165791433923419312974243255
4354094172091443912719412408244221
4460395178551453900119511861245192
4567496185001463883619611320246164
4674897191591473865319710798247141
4783198198161483843219810283248119
489189920486149381931999788249101
4910141002115215037917200930125084
5011151012182915137624201883325170
5112261022250015237295202837425257
5213421032318115336950203793525347
5314691042385415436570204750525437
5416021052453515536176205709525530
5517471062520515635748206669425623
5618981072588215735307207631325718
5720621082654615834834208594225813
5822331092721415934350209559025910
592418110278671603383621052482607
602611111285221613331221149252615
612818112291591623276021246122623
623034113297961633220121343172632
633266114304121643161621440322641
643507115310261653102621537652651
653765

That ought to get you started - I haven't done a specific sum chart for PowerBall.

gl

j

Blessed Saint Leibowitz, keep 'em dreamin' down there.....

Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

=^.^=

New Jersey
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 Posted: November 12, 2007, 8:36 pm - IP Logged

not really that would be from 1 + 2 + 3 + 4 + 5 = 15  to  51 + 52 + 53 + 54 + 55 = 265, a total of 251 resulting summed values to deal with.

I don't understand what you are saying not really to, can you be more specific?

A mind once stretched by a new idea never returns to its original dimensions!

NY
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 Posted: November 13, 2007, 2:38 am - IP Logged

I don't understand what you are saying not really to, can you be more specific?

The lowest sum possible is 15 (1+2+3+4+5). The highest sum is 265 (51+52+53+54+55). Every sum in between is possible so there are a total of 251 sums possible for PB.  No matter what the specific combination is, the sum has to be one of those 251 numbers. The lowest and highest sums can only result from one combination each, while other sums can result from any of hundreds,  or thousands of specific combinations.

That means that the list of sums is fairly short. If you wanted a list of all the specific combinations with their sums it would be a very long list.  I suppose that if you think a sum of 63 is less likely than a sum of 141, you couldlook at that very long list to see which combinations could be used to reach a sum of 140, but there would be so many entries for that sum that it would be wildly impractical. There are four sums (15,16, 264 and 265) that can only be made with one combination each. That leaves 247 sums to account for the other  146,107,958 combinations, which means that there is an average of over 590,000 combinations for each of those possible sums.  Considering that  several other sums near the upper and lower ends can also be made from only a few combinations, a few of the sums towards the middle have over a million possible combinations.

Pennsylvania
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 Posted: November 13, 2007, 6:48 am - IP Logged

Powerball (5-55)(1-42) - Sums & Combinations

 Sums Combinations 16 1 17 2 18 4 19 7 20 12 21 19 22 29 23 42 24 60 25 83 26 113 27 150 28 197 29 254 30 324 31 408 32 509 33 628 34 769 35 933 36 1125 37 1346 38 1601 39 1892 40 2225 41 2602 42 3029 43 3509 44 4049 45 4652 46 5326 47 6074 48 6905 49 7823 50 8837 51 9952 52 11178 53 12520 54 13989 55 15591 56 17338 57 19236 58 21297 59 23529 60 25945 61 28553 62 31366 63 34393 64 37649 65 41143 66 44890 67 48899 68 53186 69 57761 70 62639 71 67830 72 73350 73 79208 74 85420 75 91995 76 98949 77 106290 78 114033 79 122186 80 130764 81 139774 82 149229 83 159135 84 169506 85 180346 86 191667 87 203472 88 215772 89 228569 90 241872 91 255681 92 270004 93 284839 94 300192 95 316059 96 332445 97 349343 98 366755 99 384673 100 403097 101 422016 102 441427 103 461316 104 481679 105 502499 106 523768 107 545466 108 567583 109 590097 110 612994 111 636249 112 659846 113 683757 114 707963 115 732433 116 757146 117 782068 118 807174 119 832429 120 857806 121 883268 122 908785 123 934318 124 959837 125 985302 126 1010680 127 1035930 128 1061019 129 1085906 130 1110556 131 1134928 132 1158987 133 1182692 134 1206008 135 1228894 136 1251316 137 1273234 138 1294613 139 1315415 140 1335607 141 1355152 142 1374017 143 1392167 144 1409572 145 1426199 146 1442019 147 1457001 148 1471119 149 1484346 150 1496657 151 1508028 152 1518438 153 1527866 154 1536294 155 1543705 156 1550085 157 1555421 158 1559702 159 1562920 160 1565069 161 1566145 162 1566145 163 1565069 164 1562920 165 1559702 166 1555421 167 1550085 168 1543705 169 1536294 170 1527866 171 1518438 172 1508028 173 1496657 174 1484346 175 1471119 176 1457001 177 1442019 178 1426199 179 1409572 180 1392167 181 1374017 182 1355152 183 1335607 184 1315415 185 1294613 186 1273234 187 1251316 188 1228894 189 1206008 190 1182692 191 1158987 192 1134928 193 1110556 194 1085906 195 1061019 196 1035930 197 1010680 198 985302 199 959837 200 934318 201 908785 202 883268 203 857806 204 832429 205 807174 206 782068 207 757146 208 732433 209 707963 210 683757 211 659846 212 636249 213 612994 214 590097 215 567583 216 545466 217 523768 218 502499 219 481679 220 461316 221 441427 222 422016 223 403097 224 384673 225 366755 226 349343 227 332445 228 316059 229 300192 230 284839 231 270004 232 255681 233 241872 234 228569 235 215772 236 203472 237 191667 238 180346 239 169506 240 159135 241 149229 242 139774 243 130764 244 122186 245 114033 246 106290 247 98949 248 91995 249 85420 250 79208 251 73350 252 67830 253 62639 254 57761 255 53186 256 48899 257 44890 258 41143 259 37649 260 34393 261 31366 262 28553 263 25945 264 23529 265 21297 266 19236 267 17338 268 15591 269 13989 270 12520 271 11178 272 9952 273 8837 274 7823 275 6905 276 6074 277 5326 278 4652 279 4049 280 3509 281 3029 282 2602 283 2225 284 1892 285 1601 286 1346 287 1125 288 933 289 769 290 628 291 509 292 408 293 324 294 254 295 197 296 150 297 113 298 83 299 60 300 42 301 29 302 19 303 12 304 7 305 4 306 2 307 1
NY
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 Posted: November 13, 2007, 1:38 pm - IP Logged

Cool. Now how about a list of sums and the number of combinations that equal that sum for just the regular numbers? Out of curiosity, for those who think the sum matters, who includes the power ball or mega ball?

Pennsylvania
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 Posted: November 13, 2007, 3:33 pm - IP Logged

 SUMS COMBINATIONS 15 1 16 1 17 2 18 3 19 5 20 7 21 10 22 13 23 18 24 23 25 30 26 37 27 47 28 57 29 70 30 84 31 101 32 119 33 141 34 164 35 192 36 221 37 255 38 291 39 333 40 377 41 427 42 480 43 540 44 603 45 674 46 748 47 831 48 918 49 1014 50 1115 51 1226 52 1342 53 1469 54 1602 55 1747 56 1898 57 2062 58 2233 59 2418 60 2611 61 2818 62 3034 63 3266 64 3507 65 3765 66 4032 67 4317 68 4612 69 4925 70 5248 71 5590 72 5942 73 6313 74 6694 75 7095 76 7505 77 7935 78 8374 79 8833 80 9301 81 9788 82 10283 83 10798 84 11320 85 11861 86 12408 87 12974 88 13545 89 14134 90 14727 91 15337 92 15950 93 16579 94 17209 95 17855 96 18500 97 19159 98 19816 99 20486 100 21152 101 21829 102 22500 103 23181 104 23854 105 24535 106 25205 107 25882 108 26546 109 27214 110 27867 111 28522 112 29159 113 29796 114 30412 115 31026 116 31616 117 32201 118 32760 119 33312 120 33836 121 34350 122 34834 123 35307 124 35748 125 36176 126 36570 127 36950 128 37295 129 37624 130 37917 131 38193 132 38432 133 38653 134 38836 135 39001 136 39127 137 39234 138 39302 139 39351 140 39361 141 39351 142 39302 143 39234 144 39127 145 39001 146 38836 147 38653 148 38432 149 38193 150 37917 151 37624 152 37295 153 36950 154 36570 155 36176 156 35748 157 35307 158 34834 159 34350 160 33836 161 33312 162 32760 163 32201 164 31616 165 31026 166 30412 167 29796 168 29159 169 28522 170 27867 171 27214 172 26546 173 25882 174 25205 175 24535 176 23854 177 23181 178 22500 179 21829 180 21152 181 20486 182 19816 183 19159 184 18500 185 17855 186 17209 187 16579 188 15950 189 15337 190 14727 191 14134 192 13545 193 12974 194 12408 195 11861 196 11320 197 10798 198 10283 199 9788 200 9301 201 8833 202 8374 203 7935 204 7505 205 7095 206 6694 207 6313 208 5942 209 5590 210 5248 211 4925 212 4612 213 4317 214 4032 215 3765 216 3507 217 3266 218 3034 219 2818 220 2611 221 2418 222 2233 223 2062 224 1898 225 1747 226 1602 227 1469 228 1342 229 1226 230 1115 231 1014 232 918 233 831 234 748 235 674 236 603 237 540 238 480 239 427 240 377 241 333 242 291 243 255 244 221 245 192 246 164 247 141 248 119 249 101 250 84 251 70 252 57 253 47 254 37 255 30 256 23 257 18 258 13 259 10 260 7 261 5 262 3 263 2 264 1 265 1 3478761

Lottery  5-55 without  Powerball

New Jersey
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 Posted: November 13, 2007, 3:36 pm - IP Logged

Cool. Now how about a list of sums and the number of combinations that equal that sum for just the regular numbers? Out of curiosity, for those who think the sum matters, who includes the power ball or mega ball?

A mind once stretched by a new idea never returns to its original dimensions!

CA
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 Posted: November 14, 2007, 9:22 am - IP Logged

5/56 without MegaBall:

5/56 + 1/46 - MegaBall with bonus ball:

 Sum Frequency Sum Frequency Sum Frequency Sum Frequency Sum Frequency Sum Frequency 16 1 67 48964 117 822985 167 1832817 217 768281 267 41178 17 2 68 53272 118 850805 168 1831023 218 741450 268 37674 18 4 69 57873 119 878898 169 1828041 219 715000 269 34410 19 7 70 62783 120 907234 170 1823870 220 688954 270 31377 20 12 71 68013 121 935782 171 1818525 221 663333 271 28560 21 19 72 73579 122 964507 172 1812010 222 638157 272 25949 22 29 73 79493 123 993377 173 1804343 223 613445 273 23531 23 42 74 85770 124 1022356 174 1795534 224 589213 274 21298 24 60 75 92422 125 1051408 175 1785605 225 565477 275 19236 25 83 76 99465 126 1080496 176 1774569 226 542251 276 17338 26 113 77 106909 127 1109583 177 1762452 227 519546 277 15591 27 150 78 114770 128 1138629 178 1749272 228 497374 278 13989 28 197 79 123059 129 1167597 179 1735057 229 475744 279 12520 29 254 80 131790 130 1196446 180 1719829 230 454664 280 11178 30 324 81 140974 131 1225137 181 1703620 231 434141 281 9952 31 408 82 150624 132 1253628 182 1686453 232 414180 282 8837 32 509 83 160750 133 1281881 183 1668364 233 394785 283 7823 33 628 84 171365 134 1309852 184 1649380 234 375960 284 6905 34 769 85 182478 135 1337503 185 1629537 235 357706 285 6074 35 933 86 194100 136 1364791 186 1608866 236 340024 286 5326 36 1125 87 206239 137 1391676 187 1587405 237 322913 287 4652 37 1346 88 218906 138 1418116 188 1565186 238 306373 288 4049 38 1601 89 232107 139 1444073 189 1542250 239 290400 289 3509 39 1892 90 245851 140 1469503 190 1518631 240 274992 290 3029 40 2225 91 260144 141 1494370 191 1494370 241 260144 291 2602 41 2602 92 274992 142 1518631 192 1469503 242 245851 292 2225 42 3029 93 290400 143 1542250 193 1444073 243 232107 293 1892 43 3509 94 306373 144 1565186 194 1418116 244 218906 294 1601 44 4049 95 322913 145 1587405 195 1391676 245 206239 295 1346 45 4652 96 340024 146 1608866 196 1364791 246 194100 296 1125 46 5326 97 357706 147 1629537 197 1337503 247 182478 297 933 47 6074 98 375960 148 1649380 198 1309852 248 171365 298 769 48 6905 99 394785 149 1668364 199 1281881 249 160750 299 628 49 7823 100 414180 150 1686453 200 1253628 250 150624 300 509 50 8837 101 434141 151 1703620 201 1225137 251 140974 301 408 51 9952 102 454664 152 1719829 202 1196446 252 131790 302 324 52 11178 103 475744 153 1735057 203 1167597 253 123059 303 254 53 12520 104 497374 154 1749272 204 1138629 254 114770 304 197 54 13989 105 519546 155 1762452 205 1109583 255 106909 305 150 55 15591 106 542251 156 1774569 206 1080496 256 99465 306 113 56 17338 107 565477 157 1785605 207 1051408 257 92422 307 83 57 19236 108 589213 158 1795534 208 1022356 258 85770 308 60 58 21298 109 613445 159 1804343 209 993377 259 79493 309 42 59 23531 110 638157 160 1812010 210 964507 260 73579 310 29 60 25949 111 663333 161 1818525 211 935782 261 68013 311 19 61 28560 112 688954 162 1823870 212 907234 262 62783 312 12 62 31377 113 715000 163 1828041 213 878898 263 57873 313 7 63 34410 114 741450 164 1831023 214 850805 264 53272 314 4 64 37674 115 768281 165 1832817 215 822985 265 48964 315 2 65 41178 116 795468 166 1833414 216 795468 266 44938 316 1 66 44938

gl

j

Blessed Saint Leibowitz, keep 'em dreamin' down there.....

Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

=^.^=

New Jersey
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 Posted: November 14, 2007, 9:39 am - IP Logged

What would it take to add a Frequency Grand Total to the List?

A mind once stretched by a new idea never returns to its original dimensions!

NY
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 Posted: November 14, 2007, 12:04 pm - IP Logged

What would it take to add a Frequency Grand Total to the List?

The grand total of the frequencies is the number of possible combinations.  For PB it's 146,107,962 if you include the power ball, or  3,478,761 for just the regular numbers.

After looking at your question about the size of the list I had a brain cramp and focused on the number of combinations including the power ball (or mega ball, in the numbers I used), but  I'm assuming most people don't include the power or mega ball if they look at sums. Even with a maximum of "only"  39,000 combinations that add up to the most common sum without the power ball, a list of the combinations would be an extremely long and impractical list.

New Jersey
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 Posted: November 14, 2007, 2:38 pm - IP Logged

The grand total of the frequencies is the number of possible combinations.  For PB it's 146,107,962 if you include the power ball, or  3,478,761 for just the regular numbers.

After looking at your question about the size of the list I had a brain cramp and focused on the number of combinations including the power ball (or mega ball, in the numbers I used), but  I'm assuming most people don't include the power or mega ball if they look at sums. Even with a maximum of "only"  39,000 combinations that add up to the most common sum without the power ball, a list of the combinations would be an extremely long and impractical list.

Like I said previously:

That would be one GIGANTIC List considering their are 175 million possible combinations.

I know the person that started the thread was asking about PowerBall, but I know the approximate number of combinations for MegaMillions off the top of my head, so I gave a guesstimate. LOL!

Even without the PowerBall or the MegaBall the list is way too large to be practical.

A mind once stretched by a new idea never returns to its original dimensions!

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