Final answer:
The question references an event related to Henry Hudson being set adrift by mutineers in what is now Hudson Bay in 1611; however, none of the options provided match this event. John Smith, despite his prominent role in early American colonization, does not fit this particular historical scenario.
Step-by-step explanation:
The mutineers sent Henry Hudson and his son adrift in the bay in 1611, which is now named Hudson Bay. However, none of the options provided, including Captain Cook, Captain Kidd, Captain Bligh, or Captain Smith, correspond to this historical event. Therefore, the direct answer to the question is not present among the provided options.
It is important to note that John Smith is associated with the Jamestown colony and his interactions with the Native Americans as well as within the Jamestown leadership. Yet, Smith's historical context does not involve being set adrift by mutineers; that event relates to Henry Hudson's history.
Given this discrepancy, it would be necessary to clarify the question or provide the correct historical figure outside of the options given for an accurate answer to the student's inquiry regarding who was set adrift in a bay by mutineers.