Final answer:
The tRNA molecule with the anticodon UAC carries the amino acid methionine, as it is complementary to the mRNA codon AUG, which codes for methionine.
Step-by-step explanation:
If the anticodon of tRNA is UAC, it will pair with the mRNA codon AUG, which is known to code for the amino acid methionine. Methionine is also the special amino acid that serves as the initiation signal for protein synthesis in eukaryotic cells. It means that tRNA with an anticodon of UAC carries methionine and recognizes the start codon AUG on the mRNA. Therefore, the correct answer to which amino acid is carried by a tRNA molecule with the anticodon UAC is methionine (Option 4).