Three offers are in. The top offer is $1,250,000. The middle offer is $1,200,000. The lowest offer is $1,175,000 in cash with a 10-day close. Most sellers instinctively pick the top number. Most sellers, in that scenario, would be wrong — and the math shows it.
The expected value framework
Every offer has two components that determine the seller's actual outcome: the price on the page, and the probability that the deal closes at that price.
Expected value of an offer = price × probability of closing
This is the same calculation a sophisticated investor runs on any uncertain transaction. The headline number is half the equation. The probability is the other half. And probability is the half most sellers leave out entirely.
The three-offer scenario, scored
The three offers in detail
| Offer | Price | Financing | Contingencies | Close | Probability | Expected Value |
|---|---|---|---|---|---|---|
| A — Top number | $1,250,000 | Conventional, 10% down, marginal pre-approval | 17/21/17 days, no gap coverage | 45 days | ~60% | $750,000 |
| B — Middle | $1,200,000 | Conventional, 25% down, strong pre-approval | 10/17/gap coverage to $30K | 30 days | ~90% | $1,080,000 |
| C — Lowest, cash | $1,175,000 | Cash, full POF | 7-day inspection only, no loan or appraisal | 14 days | ~98% | $1,151,500 |
The expected value math says Offer C — the lowest headline number — is the strongest offer by $71,500 over Offer B and $401,500 over Offer A. The seller who picks Offer A is statistically choosing a 40% probability of a deal failure, a return to active marketing, and a much lower net at close.
Why probabilities differ this much
Offer A: ~60% probability
- 10% down on a conventional loan creates appraisal exposure (no buffer if appraisal comes in low).
- 17/21/17 day contingencies give the buyer three weeks of exit ramps.
- "Marginal pre-approval" means the lender's conditions list may have meaningful items still to clear.
- No gap coverage means a low appraisal triggers full renegotiation.
- 45-day close means more time for buyer circumstances to change.
This is not a bad offer. It is simply a high-risk offer.
Offer B: ~90% probability
- 25% down provides loan-to-value buffer.
- Strong pre-approval suggests the lender has fully vetted the buyer.
- Tightened contingencies (10/17 days) shrink exit windows.
- $30K gap coverage neutralizes most appraisal scenarios.
- 30-day close is reasonable.
Offer C: ~98% probability
- Cash eliminates loan and appraisal contingencies entirely.
- Full proof of funds verified.
- Only inspection contingency remains, and only for 7 days.
- 14-day close minimizes the window for anything to change.
The 2% residual risk on Offer C is essentially the buyer changing their mind during the 7-day inspection contingency. That is the cleanest deal a seller can find.
What "the highest offer fell out" actually costs
The cost of choosing Offer A when it fails is not just "the deal didn't close." The cascade:
- 25-45 days off-market. The listing was unavailable to other buyers while Offer A was in escrow.
- Original offer pool dispersed. The buyers who would have written competing offers in week one have bought other properties or moved on.
- Days on market accumulated. The listing returns to active showing 30+ days. Buyers and agents notice. The narrative shifts from "fresh listing" to "what's wrong with it?"
- Lower second-round offers. The new offers that come in are usually 3-7% below the first round — sometimes more. For a $1.2M property, that's $36,000-$84,000+ lower.
- Seller carrying costs. Insurance, mortgage, taxes, utilities continuing through the off-market period.
- Emotional and operational tax. The seller has packed, planned, and prepared for a move that isn't happening on schedule.
The full cost of accepting Offer A and watching it fail is often $50,000 to $100,000+ relative to accepting Offer C cleanly. That gap is invisible to sellers who only look at the headline number.
How probability is estimated
The probability number is not a precise measurement — nobody runs Monte Carlo simulations on real estate offers — but it is reasonably consistent based on a handful of signals Connor scores on every offer:
- Loan type. Cash 98%, conventional 25%+ down 90%, conventional 10-20% down 75-85%, FHA/VA 65-80%, jumbo 70-85%.
- Pre-approval quality. Fully underwritten with credible lender +5-10%; vague pre-approval from unfamiliar lender -10-15%.
- Contingency tightness. Tightened contingencies +5-10%; standard contingencies neutral; extended contingencies -5-10%.
- Appraisal protection. Gap coverage clause +5-10%; waived appraisal +10-15%; standard appraisal contingency neutral.
- Buyer agent quality. Experienced, communicative agent +5%; problematic agent -10%.
- Deposit size. Robust deposit (3%+) +3-5%; minimal deposit -5%.
- Contingent-on-sale. Major drag, often -20-30% even with kick-out clause.
The starting point for a "clean" conventional offer is around 80-85%. Each signal adjusts up or down. Cash with no contingencies caps near 98%; the residual 2% is the inspection contingency window.
The seller's emotional bias
The reason most sellers pick the highest number is not analytical. It is emotional. The top offer feels like winning. Accepting the lower offer feels like leaving money on the table.
The reframe: the seller who picks Offer C is not leaving $75,000 on the table. They are picking the offer most likely to actually pay out. The seller who picks Offer A is picking the offer most likely to look great on paper and pay out at zero.
Connor's job, every time, is to walk the seller through the math — not the feeling. Once the math is on the table, sellers consistently choose the higher expected value offer.
When the highest offer is the right offer
The framework does not say "always pick the lower number." It says "score every offer on price times probability." Sometimes the highest offer is also the most certain — a cash buyer at $1,250,000 with full proof of funds and a 10-day close is both the top number and the top probability. That offer wins on every axis.
The trap is the higher number with weaker terms. That offer wins only on the headline.
The practical application
Every offer Connor presents to a seller comes with:
- The headline price
- The decomposition across the four levers (price, terms, timeline, certainty)
- A probability estimate based on the signals above
- An expected-value calculation
- A comparison across all active offers
The seller sees the same analysis Connor sees. The decision is informed. The choice is the seller's; the framework is what makes it the right choice.
"The dollar that lands in your bank account at close is the dollar that matters. The dollar on the first page of the offer is a dollar with a probability attached. Multiply them. The offer with the highest product is the offer that wins — not the offer with the loudest first page." — Connor MacIvor
Score Every Offer on Expected Value
Connor walks every seller through the price-times-probability framework before the first offer arrives. The decision when the offers come is fast, analytical, and right.
Book Seller Strategy CallRelated Reading
The Complete Offer Strategy & Negotiation Playbook — Pillar Guide Multiple Offer Scenarios: How to Read, Compare, and Choose The Appraisal Gap: Strategy When the Number Comes In LowFrequently Asked Questions
