Glove scrolling probability help

Work backwards from the result, then.
10 10 30 30 60 -> you end up with a 14 atk glove.
You need about 1/.6 = 1.666 12 atk 1 slot gloves + 60%s for a 60% to work.
1.666/.3 = 5.555 9 atk 2 slot gloves + 30%s for a 30% to work
5.555/.3 = 18.51 6 atk 3 slot gloves + 30%s
18.51/.1 = 185.1 3 atk 4 slot gloves + 10%s
185.1/.1 = 1852 clean gloves + 10%s
= 2037 10%s, 24 30%s, 1.6 60%s, 1852 clean gloves.

10 10 30 60 60 ->
1.666 (60)
2.777 (60)
9.25 (30)
92.5 (10)
925 (10)
= 925 gloves, 1010 10%s, 9 30%s, 4.4 60%s.

Less than half the cost again.

This is just the average chances though.. anyway, 1000 * 2.5mil per scroll = 2.5 billion for a 13 atk glove? 5 billion for a 14? >_>

Say you went with 30%s more instead...
10 30 30 30 60 = 14 atk
1.666 60
5.555 30
18.5 30
61.73 30
617 10
= 617 gloves, 617 10%, 86 30%, 2 60%. Only works out to 2.3 billion mesos. I believe this (10 30 30 30 60) is the cheapest path to a 14 atk class glove, on average.

Same holfs true for 13:
10 30 30 60 60 = 13 atk:
1.666 60
2.777 60
9.25 30
30.9 30
308.6 10
= 309 gloves, 309 10%, 41 30%, 4.4 60%. Only 1.1 billion.