Suppose that when a fingerprint is compared with one other (nonmatching) fingerprint, the chance of a false match is 1 in 10 10 , which is approximately the error rate when 16 points are required to...

Suppose that when a fingerprint is compared with one other (nonmatching) fingerprint, the chance of a false match is 1 in 10¹⁰
, which is approximately the error rate when 16 points are required to determine a match (the British legal standard). Suppose that the FBI fingerprint database contains 10⁷
fingerprints.

a. How many false matches will occur when 100,000 suspect fingerprints are each compared with the entire database?

b. For any individual suspect, what is the chance of a false match?