I search a DNA database with a sample. Each time I attempt to match th

Sherry Becker

Sherry Becker

Answered question

2021-11-27

I search a DNA database with a sample. Each time I attempt to match this sample to an entry in the database, there is a probability of an accidental chance match of 0.0001. Chance matches are independent. There are 20,000 people in the database. What is the probability I get at least one match, purely by chance?

Answer & Explanation

Forneadil

Forneadil

Beginner2021-11-28Added 18 answers

Step 1
Given:
A database contains DNA database of 20,000 people.
Probability of accidental chance match is,
P(Accidental match)=0.0001
The objective is to find the probability of getting at least one match, purely by chance.
Step 2
Probability of getting at least one match is,
P(At least one match)=0.000120000
=0.000000005
Hence, the probability of getting at least one chance is 0.000000005

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