A biological trace is recovered from the crime scene and submitted to a forensic science laboratory for a DNA analysis. There are no potential sources for this trace, so the trace's DNA profile is searched in the national database. This search produces exactly 1 hit with individual X. Given that the national database contains 500,000 individuals out of the 24 million individuals making up the population of potential sources, and that the DNA profile searched against this database has a match probability of 1 in 10 million in the population of potential sources, what likelihood ratio do you assign for the following pair of propositions?

(Please round your answer to the nearest digit so that there are no numbers after the decimal point.)

Hp:The DNA recovered from the crime scene came from individual X.

Hd:The DNA recovered from the crime scene came from an unknown person in the population of potential sources.

Group of answer choices

10,212,766

13,565,217

10,000,000

10,909,090

In the scenario described in Question 1, what would the likelihood ratio be if the so-called "database" contained only a single individual, individual X (i.e., n=1, which means that 0 individuals were excluded as being the source of the trace)?

(Please round your answer to the nearest digit so that there are no numbers after the decimal point.)

Group of answer choices

10,212,766

13,565,217

10,000,000

10,909,090

I feel like questions 1 & 2 answers is:

Likelihood ratio=1/(1/(10*1000000))

=10000000

10000000 is the value of the Likelihood Ratio.

(But it doesn't make sense, )

Could you explain how to calculate the likelihood ratio for every step? so I can follow better. Thank you. Also, I am not using is the answer is correct or not.