Monday, February 19, 2018

Mana Tables

Mana Base Failure Tables



These charts will tell you the probability of drawing a spell with no land of that color for a variety of spell/land combinations. The numbers across the top of each chart are the number of cards of a particular type you have in your deck. You then match that with how many lands you have of that color. Each chart gives you the probabilty for a given turn assuming you have seven cards on turn one, eight or turn two, etc.

The probabilities were calculated using a cumulative multivariate hypergeometric distribution.

These charts can help you build optimal mana bases. Determine how many cards you have of a particular color that you want to cast by a particular turn, then check the chart to see how much mana of that color you need. For example, if you have four blue cards with converted mana cost of one, and you want to be able to cast them on turn one at least 90% of the time, then you'll need at least 11 blue sources. See the original post on mana base probabilities for more infomation.


Single manabase failure for turn 1
123456789101112131415161718192021222324
4 lands081420253034384144464850525354555657575858595959
5 lands071318232730333639414344464748494950505151515252
6 lands061116202427303234363839404142434344444445454545
7 lands051014182124262830323334353637373838393939393940
8 lands050912161821232526282930313132323333343434343434
9 lands040811141618202223242526272728282929292929303030
10 lands040710121416181920212223232424242525252525262626
11 lands030608101214151617181920202121212122222222222222
12 lands030507091112131415161617171818181819191919191919
13 lands020506080910111213141415151515161616161616161616
14 lands020406070809101111121212131313131314141414141414
15 lands020305060708080910101011111111111112121212121212
16 lands020304050607070808090909090910101010101010101010
17 lands010304040506060707070708080808080808080808080808
18 lands010203040405050606060606070707070707070707070707
19 lands010203030404040505050505060606060606060606060606
20 lands010202030303040404040405050505050505050505050505
21 lands010102020303030303040404040404040404040404040404
22 lands010102020202030303030303030303030303030303030303
23 lands010101020202020202020203030303030303030303030303
24 lands000101010102020202020202020202020202020202020202

Single manabase failure for turn 2
123456789101112131415161718192021222324
4 lands081521263135384143454749505152535354545455555555
5 lands071318232730333537394142434445454646464747474747
6 lands061116202326283032343536373838393939404040404040
7 lands051014172022242628293031323233333334343434343434
8 lands050812151719212224252626272828282829292929292929
9 lands040710131516181920212222232324242424242525252525
10 lands030609111314151617181919192020202021212121212121
11 lands030507091112131415151616161717171717171718181818
12 lands020506080910111212131314141414141415151515151515
13 lands020405070809091010111111121212121212121212121212
14 lands020305060607080809090909101010101010101010101010
15 lands010304050506070707080808080808080808080808080808
16 lands010203040505050606060607070707070707070707070707
17 lands010203030404040505050505050506060606060606060606
18 lands010202030303040404040404040405050505050505050505
19 lands010102020303030303030404040404040404040404040404
20 lands010101020202020303030303030303030303030303030303
21 lands000101010202020202020202020202020202020202020202
22 lands000101010102020202020202020202020202020202020202
23 lands000101010101010101010101010101020202020202020202
24 lands000001010101010101010101010101010101010101010101

Single manabase failure for turn 3
123456789101112131415161718192021222324
4 lands081521263134374042444546474849495050505151515151
5 lands071318222629323436373839404141424242424343434343
6 lands061115192225272930313233343435353535353636363636
7 lands050913161921232425262728282929292929303030303030
8 lands040811141617192021222323232424242425252525252525
9 lands040709111315161718181919192020202020202020212121
10 lands030608091112131415151616161616171717171717171717
11 lands030506080910111212121313131314141414141414141414
12 lands020405070808090910101111111111111111111111111111
13 lands020304050607070808080909090909090909090909090909
14 lands010304040506060607070707070707070707070707070707
15 lands010203040405050505060606060606060606060606060606
16 lands010202030304040404040505050505050505050505050505
17 lands010102020303030303040404040404040404040404040404
18 lands010102020202030303030303030303030303030303030303
19 lands010101020202020202020202020202020202020202020202
20 lands000101010101020202020202020202020202020202020202
21 lands000101010101010101010101010101010101010101010101
22 lands000001010101010101010101010101010101010101010101
23 lands000000010101010101010101010101010101010101010101
24 lands000000000101010101010101010101010101010101010101

Single manabase failure for turn 4
123456789101112131415161718192021222324
4 lands081521263034363940424344454546464647474747474747
5 lands071318222528303233353636373738383838383939393939
6 lands061115182123252628282930303131313131313232323232
7 lands050912151719202223232424252525252626262626262626
8 lands040710121416171818191920202021212121212121212121
9 lands030608101213141415151616161617171717171717171717
10 lands030507080910111212131313131313131414141414141414
11 lands020405070808090910101010111111111111111111111111
12 lands020304050607070808080808080909090909090909090909
13 lands010304040505060606060707070707070707070707070707
14 lands010203030404050505050505050505050505050505050505
15 lands010202030303040404040404040404040404040404040404
16 lands010102020203030303030303030303030303030303030303
17 lands010101020202020202020202030303030303030303030303
18 lands000101010102020202020202020202020202020202020202
19 lands000101010101010101010101010101010101010101010101
20 lands000001010101010101010101010101010101010101010101
21 lands000001010101010101010101010101010101010101010101
22 lands000000000101010101010101010101010101010101010101
23 lands000000000000000000000000000000000000000000000000
24 lands000000000000000000000000000000000000000000000000

Single manabase failure for turn 5
123456789101112131415161718192021222324
4 lands091621263033353738404041424243434343434343434343
5 lands071317212426283031323333343434343535353535353535
6 lands061014171921232425262627272727282828282828282828
7 lands050811141617181920212121222222222222222222222222
8 lands040709111314151516161717171717171818181818181818
9 lands030507091011121213131313141414141414141414141414
10 lands020406070809091010101011111111111111111111111111
11 lands020305060607070808080808080808080808080808080809
12 lands020304040505060606060606060707070707070707070707
13 lands010203030404040505050505050505050505050505050505
14 lands010202030303030404040404040404040404040404040404
15 lands010102020202030303030303030303030303030303030303
16 lands010101020202020202020202020202020202020202020202
17 lands000101010101020202020202020202020202020202020202
18 lands000101010101010101010101010101010101010101010101
19 lands000001010101010101010101010101010101010101010101
20 lands000000000101010101010101010101010101010101010101
21 lands000000000000000000000000000000000000000000000000
22 lands000000000000000000000000000000000000000000000000
23 lands000000000000000000000000000000000000000000000000
24 lands000000000000000000000000000000000000000000000000

Single manabase failure for turn 6
123456789101112131415161718192021222324
4 lands091521252931333536373838393939404040404040404040
5 lands071217202325262829293030313131313131313131313131
6 lands051013161820212222232324242424242424242424242525
7 lands040810121415161718181819191919191919191919191919
8 lands030608101112131314141414141515151515151515151515
9 lands030506080909101011111111111111111111111111111111
10 lands020405060707080808080808090909090909090909090909
11 lands020304050505060606060606070707070707070707070707
12 lands010203030404040505050505050505050505050505050505
13 lands010202030303030304040404040404040404040404040404
14 lands010102020202030303030303030303030303030303030303
15 lands010101010202020202020202020202020202020202020202
16 lands000101010101010101010101010202020202020202020202
17 lands000101010101010101010101010101010101010101010101
18 lands000001010101010101010101010101010101010101010101
19 lands000000000001010101010101010101010101010101010101
20 lands000000000000000000000000000000000000000000000000
21 lands000000000000000000000000000000000000000000000000
22 lands000000000000000000000000000000000000000000000000
23 lands000000000000000000000000000000000000000000000000
24 lands000000000000000000000000000000000000000000000000

Single manabase failure for turn 7
123456789101112131415161718192021222324
4 lands081520242730313334353536363636363636373737373737
5 lands071216192123242526272727282828282828282828282828
6 lands050912151618191920202121212121212121212121212121
7 lands040709111314141515161616161616161616161616161616
8 lands030507091010111112121212121212121212121212121212
9 lands020405060708080909090909090909090909090909090909
10 lands020304050506060607070707070707070707070707070707
11 lands010203040404050505050505050505050505050505050505
12 lands010202030303030404040404040404040404040404040404
13 lands010102020202020303030303030303030303030303030303
14 lands010101010202020202020202020202020202020202020202
15 lands000101010101010101010101010101010101010101010101
16 lands000101010101010101010101010101010101010101010101
17 lands000000010101010101010101010101010101010101010101
18 lands000000000000000000000000000000000000000000000000
19 lands000000000000000000000000000000000000000000000000
20 lands000000000000000000000000000000000000000000000000
21 lands000000000000000000000000000000000000000000000000
22 lands000000000000000000000000000000000000000000000000
23 lands000000000000000000000000000000000000000000000000
24 lands000000000000000000000000000000000000000000000000

Single manabase failure for turn 8
123456789101112131415161718192021222324
4 lands081520232628303131323333333333333333333333333333
5 lands061115182021222324242425252525252525252525252525
6 lands050911131516171718181818191919191919191919191919
7 lands040608101112121313131414141414141414141414141414
8 lands030506070809091010101010101010101010101010101010
9 lands020405050606070707070707070707070707070707070707
10 lands020303040405050505050505050505050505050505050505
11 lands010203030303040404040404040404040404040404040404
12 lands010102020202030303030303030303030303030303030303
13 lands010101020202020202020202020202020202020202020202
14 lands000101010101010101010101010101010101010101010101
15 lands000101010101010101010101010101010101010101010101
16 lands000000010101010101010101010101010101010101010101
17 lands000000000000000000000000000000000000000000000000
18 lands000000000000000000000000000000000000000000000000
19 lands000000000000000000000000000000000000000000000000
20 lands000000000000000000000000000000000000000000000000
21 lands000000000000000000000000000000000000000000000000
22 lands000000000000000000000000000000000000000000000000
23 lands000000000000000000000000000000000000000000000000
24 lands000000000000000000000000000000000000000000000000

Double manabase failure for turn 2
123456789101112131415161718192021222324
4 lands122333414955616670737679818385868788898990909191
5 lands122232404753586367707375777981828384848585868686
6 lands112130384450555963666971737576777879808081818181
7 lands112029364247525659626567697071727374757575767676
8 lands101927333944495255586062646567676869697070707171
9 lands091825313741454952545658596061626364646465656565
10 lands091623293438424548505253545656575858595959596060
11 lands081521273135384144464749505152525353535454545454
12 lands071420242832353840414344454647474848484949494949
13 lands071318222629323436383940414242434343444444444444
14 lands061216202326293132343536373738383839393939393939
15 lands061015182124262729303132333334343434353535353535
16 lands050913161921232426272828292930303030313131313131
17 lands050812141719202223242425252626262727272727272727
18 lands040710131517181920212122222323232323232324242424
19 lands040709111315161718181919192020202020202020202020
20 lands030608101113141515161617171717171717171818181818
21 lands030507091011121313141414141515151515151515151515
22 lands020406070909101111121212121213131313131313131313
23 lands020405060708090910101010101111111111111111111111
24 lands020304050607070808080909090909090909090909090909

Double manabase failure for turn 3
123456789101112131415161718192021222324
4 lands142636445258646872757880828385868787888889898989
5 lands132434424955606468717375777980818182838383838484
6 lands122332394652566063666970727374757676777777787878
7 lands112130374348525659616365666869697070717171717272
8 lands112027343944485154565860616263636464656565656565
9 lands101825313640444749515354555657575858595959595959
10 lands091623283336404244464849505151525252535353535353
11 lands081521252933363840414344454546464647474747474747
12 lands071318232629323436373839404041414141424242424242
13 lands061216202326283031333434353536363636373737373737
14 lands061115182123252628292930313131323232323232323232
15 lands050913161820222324252626272727272828282828282828
16 lands040811141618192021222223232323242424242424242424
17 lands040710121415161718191919202020202020202020202020
18 lands030608101213141515161617171717171717171717171717
19 lands030507091011121313131414141414141515151515151515
20 lands020506080909101111111212121212121212121212121212
21 lands020405060708080909091010101010101010101010101010
22 lands020304050607070708080808080808080808080808080808
23 lands020304040505060606060707070707070707070707070707
24 lands010203040405050505050505050506060606060606060606

Double manabase failure for turn 4
123456789101112131415161718192021222324
4 lands152738475461667073767880828384858586868787878787
5 lands142636445156616568717375767778797980808080818181
6 lands132433404752566063656769707172727373737374747474
7 lands122230374347515557596162636465656666666767676767
8 lands112027343943464951535556575858595959596060606060
9 lands101825303538424446484950515152525253535353535353
10 lands091622273134373941424344454546464646474747474747
11 lands081419242730323436373839394040404041414141414141
12 lands071217212426283031323334343435353535353535353535
13 lands061115182123252627282829293030303030303030303030
14 lands050913161820212223242425252525262626262626262626
15 lands040811131517181920202121212122222222222222222222
16 lands040709111314151617171718181818181818181818181818
17 lands030608101112131314141515151515151515151515151515
18 lands030507080910111112121212121212131313131313131313
19 lands020406070808090910101010101010101010101010101010
20 lands020305060607070808080808080808080808080808080808
21 lands020304050506060606060707070707070707070707070707
22 lands010203040404050505050505050505050505050505050505
23 lands010202030304040404040404040404040404040404040404
24 lands010102020303030303030303030303030303030303030303

Double manabase failure for turn 5
123456789101112131415161718192021222324
4 lands162940495662677174767880818283838484848585858585
5 lands152737455257616568707273747576767777777777777777
6 lands132534414752565961636566676868696969697070707070
7 lands122230374246505355565859606061616162626262626262
8 lands112027333741444748505152535353545454545454545455
9 lands101724293336394142444545464647474747474747474747
10 lands081521252931343537383939404040404141414141414141
11 lands071318222527293031323334343434353535353535353535
12 lands061115192123252627272828292929292929292929292929
13 lands051013161820212223232424242424252525252525252525
14 lands050811131516171819192020202020202020212121212121
15 lands040709111314151516161616171717171717171717171717
16 lands030608091011121213131313141414141414141414141414
17 lands030506080809101010111111111111111111111111111111
18 lands020405060707080808090909090909090909090909090909
19 lands020304050606060707070707070707070707070707070707
20 lands010303040405050505050506060606060606060606060606
21 lands010203030304040404040404040404040404040404040404
22 lands010202020303030303030303030303030303030303030303
23 lands010102020202020202030303030303030303030303030303
24 lands010101010202020202020202020202020202020202020202

Double manabase failure for turn 6
123456789101112131415161718192021222324
4 lands173142505863687174767879808081818282828282828282
5 lands152838465257616467687071727273737374747474747474
6 lands142534414651545759616263646465656565656565656666
7 lands122230364145485052535455565656575757575757575757
8 lands111926313639414345464748484849494949494949494949
9 lands091722273133363738394041414141424242424242424242
10 lands081419232628303233333434353535353535353535353535
11 lands071216192224252627282829292929292929292929292929
12 lands061014161820212223232324242424242424242424242424
13 lands050811131516171819191919202020202020202020202020
14 lands040709111213141515151616161616161616161616161616
15 lands030608091011111212121313131313131313131313131313
16 lands030506070809090910101010101010101010101010101010
17 lands020405060607070808080808080808080808080808080808
18 lands020304050505060606060606060606060606060606060606
19 lands010203040404040505050505050505050505050505050505
20 lands010202030303030404040404040404040404040404040404
21 lands010102020202030303030303030303030303030303030303
22 lands010101020202020202020202020202020202020202020202
23 lands000101010101010102020202020202020202020202020202
24 lands000101010101010101010101010101010101010101010101

Double manabase failure for turn 7
123456789101112131415161718192021222324
4 lands183243525864687173757677787879797979808080808080
5 lands162838465257606365666768696970707070707070707171
6 lands142534404549525557585960606061616161616161616161
7 lands122229353943454749505051515252525252525252525252
8 lands101925303336384041424343434444444444444444444444
9 lands091621252830323334353636363637373737373737373737
10 lands071318212325272828292930303030303030303030303030
11 lands061114171921222323242424242525252525252525252525
12 lands050912141617181819191920202020202020202020202020
13 lands040710111314141515151616161616161616161616161616
14 lands030608091011111212121212121212121213131313131313
15 lands030506070808090909091010101010101010101010101010
16 lands020405060607070707070707070808080808080808080808
17 lands020304040505050506060606060606060606060606060606
18 lands010203030404040404040404040404040404040404040404
19 lands010202020303030303030303030303030303030303030303
20 lands010102020202020202020202020202020202020202020202
21 lands010101010202020202020202020202020202020202020202
22 lands000101010101010101010101010101010101010101010101
23 lands000001010101010101010101010101010101010101010101
24 lands000000010101010101010101010101010101010101010101

Double manabase failure for turn 8
123456789101112131415161718192021222324
4 lands183344525963677072737475767676777777777777777777
5 lands162938465155596163646565666666676767676767676767
6 lands142533394448505254555556565657575757575757575757
7 lands122128333740424445464647474748484848484848484848
8 lands101823283133353637383839393939393939393939393939
9 lands081519232627293031313132323232323232323232323232
10 lands071216192122232425252525262626262626262626262626
11 lands061013151718191920202020202020212121212121212121
12 lands040810121314151515161616161616161616161616161616
13 lands040608091011111212121212121212121313131313131313
14 lands030506070808090909090910101010101010101010101010
15 lands020405060606070707070707070707070707070707070707
16 lands020304040505050505050505050505050505050505050505
17 lands010203030304040404040404040404040404040404040404
18 lands010202020303030303030303030303030303030303030303
19 lands010101020202020202020202020202020202020202020202
20 lands000101010101010101020202020202020202020202020202
21 lands000101010101010101010101010101010101010101010101
22 lands000001010101010101010101010101010101010101010101
23 lands000000000000000001010101010101010101010101010101
24 lands000000000000000000000000000000000000000000000000