Here are the exact "math figures" of how many "winning numbers" someone can expect to "predict" when one selects a pool of lottery numbers [05 up to 59 main numbers] from a group of 59 lottery numbers (like powerball).

Example :
When you pick 12 numbers from 59 numbers, the chance that exactly 3 of the 5 main winning numbers will be among the numbers you selected is 04,750333%.

Pool0 numbers1 number2 numbers3 numbers4 numbers5 numbers
05 :63,169520%31,584760%04,954472%00,285835%00,005393%00,000020%
06 :57,320490%35,094178%07,018836%00,550497%00,015880%00,000120%
07 :51,912897%37,853154%09,270160%00,927016%00,036354%00,000419%
08 :46,921272%39,932998%11,647124%01,426178%00,071309%00,001119%
09 :42,321147%41,401122%14,093999%02,055375%00,125839%00,002517%
10 :38,089033%42,321147%16,560449%02,818800%00,205537%00,005034%
11 :34,202397%42,752996%19,001331%03,717652%00,316396%00,009228%
12 :30,639647%42,752996%21,376498%04,750333%00,464706%00,015820%
13 :27,380110%42,373980%23,650593%05,912648%00,656961%00,025707%
14 :24,404011%41,665385%25,792857%07,198007%00,899751%00,039989%
15 :21,692454%40,673352%27,776923%08,597619%01,199668%00,059983%
16 :19,227403%39,440826%29,580620%10,100699%01,563203%00,087249%
17 :16,991658%38,007657%31,185770%11,694664%01,996650%00,123602%
18 :14,968842%36,410696%32,577991%13,365330%02,505999%00,171141%
19 :13,143373%34,683902%33,746499%15,097118%03,096845%00,232263%
20 :11,500452%32,858433%34,683902%16,873249%03,774279%00,309684%
21 :10,026035%30,962754%35,386005%18,675947%04,542798%00,406461%
22 :08,706820%29,022732%35,851610%20,486634%05,406195%00,526008%
23 :07,530222%27,061737%36,082316%22,286136%06,367467%00,672122%
24 :06,484358%25,100741%36,082316%24,054877%07,428712%00,848996%
25 :05,558021%23,158422%35,858202%25,773083%08,591028%01,061245%
26 :04,740665%21,251258%35,418763%27,420978%09,854414%01,313922%
27 :04,022383%19,393630%34,774786%28,978988%11,217673%01,612540%
28 :03,393885%17,597924%33,938853%30,427937%12,678307%01,963093%
29 :02,846484%15,874625%32,925148%31,749250%14,232422%02,372070%
30 :02,372070%14,232422%31,749250%32,925148%15,874625%02,846484%
31 :01,963093%12,678307%30,427937%33,938853%17,597924%03,393885%
32 :01,612540%11,217673%28,978988%34,774786%19,393630%04,022383%
33 :01,313922%09,854414%27,420978%35,418763%21,251258%04,740665%
34 :01,061245%08,591028%25,773083%35,858202%23,158422%05,558021%
35 :00,848996%07,428712%24,054877%36,082316%25,100741%06,484358%
36 :00,672122%06,367467%22,286136%36,082316%27,061737%07,530222%
37 :00,526008%05,406195%20,486634%35,851610%29,022732%08,706820%
38 :00,406461%04,542798%18,675947%35,386005%30,962754%10,026035%
39 :00,309684%03,774279%16,873249%34,683902%32,858433%11,500452%
40 :00,232263%03,096845%15,097118%33,746499%34,683902%13,143373%
41 :00,171141%02,505999%13,365330%32,577991%36,410696%14,968842%
42 :00,123602%01,996650%11,694664%31,185770%38,007657%16,991658%
43 :00,087249%01,563203%10,100699%29,580620%39,440826%19,227403%
44 :00,059983%01,199668%08,597619%27,776923%40,673352%21,692454%
45 :00,039989%00,899751%07,198007%25,792857%41,665385%24,404011%
46 :00,025707%00,656961%05,912648%23,650593%42,373980%27,380110%
47 :00,015820%00,464706%04,750333%21,376498%42,752996%30,639647%
48 :00,009228%00,316396%03,717652%19,001331%42,752996%34,202397%
49 :00,005034%00,205537%02,818800%16,560449%42,321147%38,089033%
50 :00,002517%00,125839%02,055375%14,093999%41,401122%42,321147%
51 :00,001119%00,071309%01,426178%11,647124%39,932998%46,921272%
52 :00,000419%00,036354%00,927016%09,270160%37,853154%51,912897%
53 :00,000120%00,015880%00,550497%07,018836%35,094178%57,320490%
54 :00,000020%00,005393%00,285835%04,954472%31,584760%63,169520%
55 :0%00,001099%00,118648%03,144184%27,249597%69,486472%
56 :0%0%00,030761%01,661078%22,009290%76,298871%
57 :0%0%0%00,584454%15,780245%83,635301%
58 :0%0%0%0%08,474576%91,525424%
59 :0%0%0%0%0%100,000000%