# Autosomal Recessive Inheritance Risk Calculator

Compute per-child and cumulative autosomal recessive disease risk from parental statuses (carrier / affected / non-carrier / unknown via population carrier rate), including the 2/3 carrier rule. Derived from Griffiths, Hartl & Clark 2007, StatPearls. Educational use only.

> Canonical page: https://elysiatools.com/en/tools/autosomal-recessive-risk

- **Category:** Education

- **Keywords:** autosomal recessive, recessive inheritance risk, carrier risk calculator, genetic risk, carrier frequency, cystic fibrosis inheritance, recurrence risk, two-thirds carrier probability, mendelian inheritance, genetics counseling tool

## Overview

The Autosomal Recessive Inheritance Risk Calculator estimates the affected-child risk for two parental genotype statuses and the cumulative chance that at least one of a specified number of children is affected. It supports carrier, affected, not-a-carrier, and unknown statuses, using a population carrier rate for unknown parents. Educational use only.

## Inputs

- **Parent 1 Status** (select): Genotype status of the first parent.
- **Parent 2 Status** (select): Genotype status of the second parent.
- **Population carrier rate** (number): Population carrier frequency c used when a parent's status is unknown (P(Aa) = c, P(aa) = c²).
- **Number of children** (number): Number of children for the cumulative at-least-one-affected risk.
- **Decimal Places** (number)

## When to use

- Estimate the per-child risk for an autosomal recessive condition from known parental statuses.
- Use a population carrier rate when one parent's genotype status is unknown.
- Calculate the cumulative probability that at least one of multiple children is affected.

## How it works

- Select a status for each parent: carrier (Aa), affected (aa), not a carrier (AA), or unknown.
- Enter the population carrier rate when a parent's status is unknown, along with the number of children.
- The calculator combines each parent's probability of transmitting the recessive allele to determine the per-child affected risk.
- It reports the per-child result and the cumulative risk for at least one affected child using 1 − (1−r)^n; for two carriers, it also applies the 2/3 carrier probability among unaffected children.

## Use cases

- Teaching Mendelian inheritance with carrier, affected, and non-carrier genotype combinations.
- Exploring how an unknown partner's population carrier rate changes recurrence risk.
- Comparing single-child risk with the chance that at least one child is affected across several children.

## Frequently asked questions

### What parental statuses does the calculator support?

It supports carrier (Aa), affected (aa), not a carrier (AA), and unknown.

### What does the population carrier rate mean?

It is the value c used to estimate an unknown parent's status, with P(Aa)=c and P(aa)=c².

### What is the risk when both parents are carriers?

Each child has a 25% affected risk, a 50% carrier probability, and a 25% probability of being a non-carrier.

### What is the 2/3 carrier rule?

For two carrier parents, an unaffected child has a 2/3 probability of being a carrier.

### Is this calculator a substitute for genetic counseling?

No. It is intended for education and does not replace professional genetic counseling.

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