Step 1 :The sample space of possible outcomes is the set of all possible outcomes. In this case, the person can spin a number from 1 to 6 on the spinner and then draw either a black (B) or red (R) card. Therefore, the sample space will be the set of all pairs (spinner outcome, card outcome).
Step 2 :Let's denote the spinner outcomes as numbers from 1 to 6 and the card outcomes as B for black and R for red.
Step 3 :By combining each spinner outcome with each card outcome, we get the following pairs: (1, B), (1, R), (2, B), (2, R), (3, B), (3, R), (4, B), (4, R), (5, B), (5, R), (6, B), (6, R).
Step 4 :Final Answer: \(\boxed{\mathrm{S}=\{(1, B), (1, R), (2, B), (2, R), (3, B), (3, R), (4, B), (4, R), (5, B), (5, R), (6, B), (6, R)\}}\)