College Acceptance Rate Calculator Formula

Understand the math behind the college acceptance rate calculator. Each variable explained with a worked example.

Use the College Acceptance Rate Calculator

Formulas Used

Acceptance Rate

accept_rate_pct = acceptance_rate * 100

Rejection Rate

rejection_rate = (1 - acceptance_rate) * 100

Chance of At Least 1 Acceptance

prob_at_least_one = (1 - pow(1 - acceptance_rate, schools_applied)) * 100

Expected Acceptances

expected_acceptances = schools_applied * acceptance_rate

Variables

VariableDescriptionDefault
total_applicantsTotal Applicants40000
students_admittedStudents Admitted8000
schools_appliedSchools You Applied To8
acceptance_rateDerived value= students_admitted / total_applicantscalculated

How It Works

How College Acceptance Rate Works

The acceptance rate is simply the proportion of applicants who receive an offer of admission.

Formula

Acceptance Rate = Admitted / Total Applicants

Probability of At Least One Acceptance = 1 - (1 - Rate)^Schools Applied

Applying to multiple schools increases your overall chances. If each school has a 20% acceptance rate and you apply to 8, your chance of getting into at least one is about 83%.

Worked Example

A college receives 40,000 applications and admits 8,000. The student applies to 8 similar schools.

total_applicants = 40000students_admitted = 8000schools_applied = 8
  1. 01Acceptance rate: 8,000 / 40,000 = 20.0%
  2. 02Rejection rate: 80.0%
  3. 03P(at least one): 1 - 0.80^8 = 1 - 0.1678 = 83.2%
  4. 04Expected acceptances: 8 x 0.20 = 1.6

Ready to run the numbers?

Open College Acceptance Rate Calculator