Final answer:
The correct sequence for the 5' capping process of pre-mRNA is: Removal of a phosphate (2), addition of a guanine nucleotide (1), methylation at the 5' end (4), followed by methylation at the 2' sugar position (3).
Step-by-step explanation:
The correct order of events during the 5' capping process of pre-mRNA is the addition of a guanine nucleotide via 5′5′ bond, removal of a phosphate from a ribonucleotide triphosphate at the 5′ head of pre-mRNA, methylation at the 5′ end and addition of a methyl group to the position 7 of the terminal guanine base, and methylation to the 2′ position of the sugar in the second and the third nucleotide. Therefore, the proper sequence of these events is option (d): 2, 1, 4, 3.