Step 1 :The sample space of an experiment is the set of all possible outcomes of that experiment. In this case, the experiment consists of two parts: drawing a card and spinning a spinner. The card can be either Black (B) or Red (R), and the spinner can land on any number from 1 to 6. Therefore, the sample space consists of all possible combinations of these outcomes.
Step 2 :Final Answer: The sample space of possible outcomes is \(\boxed{\{('B', 1), ('B', 2), ('B', 3), ('B', 4), ('B', 5), ('B', 6), ('R', 1), ('R', 2), ('R', 3), ('R', 4), ('R', 5), ('R', 6)\}}\).