OSRS ToA Loot Calculator
Model Tombs of Amascut loot using a verified personal or team purple chance from your current raid setup. This avoids presenting an invented invocation formula while still calculating exact independent-raid probabilities and expected value.
- Personal Purple Chance
- 2%
- Expected Purple Chests
- 2 purples
- Target Item Chance per Raid
- 0.1%
- Chance of at Least One Target Item
- 9.5208%
- Raids for 50% Target Chance
- 693 raids
- Raids for 90% Target Chance
- 2,302 raids
- Raids for 95% Target Chance
- 2,995 raids
- Net Expected Value
- $0
- Net GP per Hour
- 0 GP/hour
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The breakdown includes personal purple chance, expected purples, cumulative purple chance, target-item chance, cumulative target-item chance, raids required for 50%, 90%, and 95% confidence, net expected value, and net GP per hour.
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How to Use This Calculator
Enter the purple chance per raid as a percentage, planned raid count, your personal share of a team purple, target item's share of the unique table, average purple value, average common-loot value, raid time, and cost per raid.
Formula & Methodology
Personal purple chance equals team purple chance multiplied by personal share. Expected purples multiply personal chance by raid count. Cumulative chance of at least one purple equals one minus the chance of no purple across all raids. Target-item chance multiplies personal purple chance by the item's conditional share. Expected value adds purple EV and common-loot EV, then subtracts raid costs.
Using a verified purple rate
At a 2% personal purple chance over 100 independent raids, expected purples are 2 and the chance of at least one purple is about 86.7%. This does not guarantee two drops.
The calculator does not derive hidden ToA points or invocation scaling. Enter a verified personal or team purple chance for the exact raid setup. Officially published mechanics include a 64,000 individual-points cap and a 1,500-point minimum eligibility threshold, but points depend on raid performance. Item weights and prices can change.
Probability and expected value are long-run estimates, not guarantees. Verify current ToA mechanics, rates, item weights, and prices.
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Frequently Asked Questions
- Why do I enter the purple chance manually?
- ToA chance depends on points and raid performance. Manual verified input avoids pretending a simple invocation-only formula is exact.
- What is personal share?
- It is your expected share of team purple rolls, expressed as a percentage. Use 100% for a solo raid.
- What does target-item share mean?
- It is the conditional probability that a purple is the selected item, not the item's overall per-raid chance.
- Are expected purples guaranteed?
- No. Expected value is a long-run average and actual results can vary widely.
- Does the calculator include common loot?
- Yes. Enter average common-loot value per raid separately from purple expected value.
Last updated 7/17/2026