From Wikipedia
1892: Sir Francis Galton (1822–1911) after having studied the fingerprints during ten years, published a detailed statistical model of fingerprint analysis and identification and encouraged its use in forensic science in his book Finger Prints. He had calculated that the chance of a "false positive" (two different individuals having the same fingerprints) was about 1 in 64 billion.
Plate 10 of the book (inverted top to bottom);