Final answer:
The best method for randomly choosing the next nucleotide to add to an imaginary DNA segment would be blindly selecting from a bag filled with colored beads.
Step-by-step explanation:
The best method for randomly choosing the next nucleotide to add to an imaginary DNA segment would be c. blindly selecting from a bag filled with blue, green, red, and yellow beads. This is because the DNA bases (adenine, cytosine, guanine, and thymine) can be represented by the colors of the beads, and blindly selecting from the bag would mimic the random selection of nucleotides in nature. Rolling a six-sided number cube, throwing a dart at a dartboard, or drawing from a deck of cards would not accurately represent the randomness of nucleotide selection in DNA.