For those of you who are not great at math (or even for those of you who are), I've put together a list of just how probable it is to get the result you need when you test a ring (to the nearest .1%). I've included every method of testing each ring, with and without the Scroll of Isildur/Under-grottos (or at The Under-grottos), except for Ringlore, as that allows you to chose your roll, and Lesser Ring which can come out on any roll. This page is for hero companies, I'll put one up for minions soon.

The One Ring
A Dwarven Ring
A Magic Ring
Lesser Ring Only

The One Ring:
• With a Precious Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 66%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 30.6%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 41.7%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 16.7%
  • Test of Lore with Scroll of Isildur/Under-grottos: 27.8%
  • Test of Lore without Scroll of Isildur/Under-grottos: 8.3%
• With Fair Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 47.8%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 10.8%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 27.8%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 8.3%
  • Test of Lore with Scroll of Isildur/Under-grottos: 16.7%
  • Test of Lore without Scroll of Isildur/Under-grottos: 2.8%
• With Beautiful Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 16%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 5.5%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 16.7%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 2.8%
  • Test of Lore with Scroll of Isildur/Under-grottos: 8.3%
  • Test of Lore without Scroll of Isildur/Under-grottos: Impossible

A Dwarven Ring:
• With Precious Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 92.3%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 66.0%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 72.2%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 41.7%
  • Test of Lore with Scroll of Isildur/Under-grottos: 58.3%
  • Test of Lore without Scroll of Isildur/Under-grottos: 27.8%
• With Fair Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 82.6%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 47.8%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 58.3%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 27.8%
  • Test of Lore with Scroll of Isildur/Under-grottos: 41.7%
  • Test of Lore without Scroll of Isildur/Under-grottos: 16.7%
• With Beautiful Gold RIng:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 66%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 30.6%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 41.7%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 16.7%
  • Test of Lore with Scroll of Isildur/Under-grottos: 27.8%
  • Test of Lore without Scroll of Isildur/Under-grottos: 8.3%

A Magic Ring:
• With Precious Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 16%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 47.8%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 8.3%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 27.8%
  • Test of Lore with Scroll of Isildur/Under-grottos: 16.7%
  • Test of Lore without Scroll of Isildur/Under-grottos: 41.7%
• With Fair Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 30.6%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 66%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 16.7%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 41.7%
  • Test of Lore with Scroll of Isildur/Under-grottos: 27.8%
  • Test of Lore without Scroll of Isildur/Under-grottos: 58.3%
• With Beautiful Gold Ring:
  • Wizard's Test with Scroll of Islidur: 47.8%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 82.6%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 27.8%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 58.3%
  • Test of Lore with Scroll of Isildur/Under-grottos: 41.7%
  • Test of Lore without Scroll of Isildur/Under-grottos: 72.2%

Lesser Ring Only
• With Precious Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 3.8%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 9.3%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 19.4%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 30.6%
  • Test of Lore with Scroll of Isildur/Under-grottos: 25%
  • Test of Lore without Scroll of Isildur/Under-grottos: 30.6%
• With Fair Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 6.3%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 9.3%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 25%
  • Test of Form/Gandlaf with Scroll of Isildur/Under-grottos: 30.6%
  • Test of Lore with Scroll of Isildur/Under-grottos: 30.6%
  • Test of Lore without Scroll of Isildur/Under-grottos: 25%
• With Beautiful Gold Ring:
  • Wizard's Test with Scroll of Isildur/Under-grottos: 9.3%
  • Wizard's Test without Scroll of Isildur/Under-grottos: 6.3%
  • Test of Form/Gandalf with Scroll of Isildur/Under-grottos: 30.6%
  • Test of Form/Gandalf without Scroll of Isildur/Under-grottos: 25%
  • Test of Lore with Scroll of Isildur/Under-grottos: 30.6%
  • Test of Lore without Scroll of Isildur/Under-grottos: 19.4%