Guide · probability language

P50 vs P80: quoting at P50 is a coin flip

Every fixed-price bid hides a decision no one says out loud: which percentile are you actually pricing from? P50 and P80 sound similar and behave very differently. Here is the honest difference, with real numbers.

What the labels actually mean

PercentileMeaning
P50 50% of simulated outcomes fall at or below this value — the median, your single “best guess”.
P80 80% of simulated outcomes fall at or below this value — only 20% of outcomes exceed it.
P90 90% at or below — only 10% of outcomes exceed it. Reserve for the commitments you can’t miss.

The wording matters: P80 = 80% of simulated outcomes at or below this value. It is not “20% faster” or “a bit of buffer” — it is a hard statement about how often you stay under.

Why pricing at P50 is a coin flip

Cost is rarely a single number — it is a range of possible outcomes. The P50 is the midpoint of that range. If you price your fixed-price bid so that cost P50 = your budgeted cost, then:

That is not a small-risk posture. It is the definition of a coin flip, on a contract where you carry the overrun. The margin in a bid is supposed to absorb that uncertainty — pricing from P50 spends the whole margin on the first unlucky outcome.

Worked example

Suppose a task costs 10,000 USD (optimistic), 15,000 USD (most likely) and 24,000 USD (pessimistic). The three-point math gives:

ScenarioCostBid needed for 20% margin
P50 (half of outcomes below)15,667 USD19,583 USD
P80 (80% of outcomes below)17,630 USD22,038 USD

The difference is about 2,455 USD — roughly 12.5% more than the P50 bid. That “extra” is not padding; it is buying you an 80% chance of keeping your margin instead of a 50% one.

When to use which

Common questions

What does P50 mean in project estimating?

P50 is the 50th percentile: half of simulated outcomes fall at or below this value and half fall above it. A P50 cost estimate is your “best single guess” — but quoting or budgeting at P50 leaves you roughly a coin flip’s chance of going over.

What does P80 mean?

P80 is the 80th percentile: 80% of simulated outcomes fall at or below this value, so only 20% exceed it. Planning and pricing off P80 gives you an 80% chance of staying at or under the number — far safer than P50 when margin is thin.

Why is quoting at P50 like a coin flip?

If cost is truly uncertain and its midpoint (P50) equals your price basis, then roughly half the outcomes land above that number. That means about a 50% chance the job costs more than you priced — a coin flip you would rarely want to take on a fixed-price contract.

When should I use P80 instead of P50?

Use P80 (or higher) when you are committed to a fixed price, the margin is thin, or missing the number is expensive — for client-facing quotes and internal commitments. Use P50 only as an optimistic “best case” reference, never as the number you promise.

What is the difference between a P50 and a P80 bid?

Roughly the difference between the two cost percentiles divided by (1 − margin). For example, on a cost estimate of 10k/15k/24k (USD) with a 20% target margin, the P50-based bid is about 19.6k while the P80-based bid is about 22k — about 12% higher, buying you an 80% (instead of 50%) chance of keeping your margin.

Put it into practice

P50 and P80 are per-task ideas. The real question is your whole project’s P80 — where dependencies and risk events compound. Run it properly in the full multi-task, multi-risk analysis, or read the methodology.