Final answer:
The probability that the next F2 offspring will be wrinkled is 25%, regardless of the previous round seeds, as each genetic event is independent.
Step-by-step explanation:
If we consider only the seed texture (round or wrinkled) in a Punnett square analysis following Mendelian genetics, each F2 offspring in a monohybrid cross has a 3:1 probability ratio for exhibiting the dominant trait to the recessive trait. This is due to independent assortment and dominance. In this case, round seeds are the dominant phenotype, and wrinkled seeds are the recessive phenotype. Therefore, per Mendel's experiments, the probability of obtaining a wrinkled seed in any given F2 offspring is 1/4, or 25%, no matter the previous outcomes.
Thus, even if the first three F2 offspring grown from the cross described above are round, the probability that the next F2 offspring will be wrinkled remains at 25%. This is due to the fact that in genetics, each event is independent of the previous events.