Scholarship Odds Calculator
Awards over applicants with expected value per entry.
What it does
Scholarship odds divide awards by applicants. Ten awards among five hundred entries is two percent. Expected value multiplies by dollars to price effort before essays.
The tool above takes awards, applicants, and amount and returns odds, expected value, and ratio. The defaults 10, 500, and 2000 match the worked example, so the page opens showing 2.00 percent.
Odds are awards over applicants times 100. Expected is odds fraction times amount: 0.02 times 2000 is $40. Ratio inverts to applicants over awards: 50 to 1. Effort and fit shift real chances from raw odds.
Use this to rank lists by expected value per hour, not sticker alone. Small local awards often beat famous long shots. Deadlines and eligibility filter first.
This page shows the formulas, one full hand checked example at 10 of 500, a reference table, and practice checks that run through the tool.
How to use
- Type awards offered.
- Type applicants expected.
- Type award dollars.
- Read Odds in percent.
- Read Expected value per entry.
- Rank by expected per hour of work.
Formula
- awards
- Winners paid.
- applicants
- Entries competing.
- amount
- Dollars per award.
Whole counts for awards and applicants. Awards cannot top applicants here.
Worked example
Example: 10 awards, 500 applicants, $2000
Ten $2000 awards draw five hundred entries. Find odds.
- Odds: 10 / 500 = 0.02 = 2.00 %.
- Expected: 0.02 x 2000 = $40.00.
- Ratio: 500 / 10 = 50:1.
- Check: 2 percent of 500 is 10 awards.
- Per hour: divide $40 by essay hours.
- Apply where fit lifts over raw odds.
Reference table
| Awards/applicants | Odds | EV at $2000 |
|---|---|---|
| 10/500 | 2.00 % | $40.00 |
| 5/200 | 2.50 % | $50.00 |
| 1/100 | 1.00 % | $20.00 |
Limits
- Raw odds only. Fit and filters shift real chances.
- Whole counts required.
- One amount here. Tiered awards need splits.
- Effort cost outside.
Common mistakes
- Reading 2 percent as 2 in 10.
- Allowing awards over applicants.
- Chasing sticker over expected per hour.
- Ignoring eligibility filters.
- Counting renewals as new odds.
Try it yourself
Quick checks. Answers sit tucked under each question.
5 awards, 200 applicants, $1000?
Odds 2.50 %, EV $25.00, ratio 40:1.
1 award, 100 applicants, $2000?
Odds 1.00 %, EV $20.00.
Questions
10 of 500?
2.00 %.
Expected?
Odds times amount. Here $40.00.
Ratio?
Applicants over awards. Here 50:1.
Fit?
Shifts real chances from raw odds.
Renewable?
Multiply EV by years if renewable.
Effort?
Divide EV by hours to rank.