If a person draws a playing card and checks its color and then rolls a six-sided die, describe the sample space of possible outcomes using B, R for the card outcomes and $$ 1,2,3,4,5,6 $$ for the die outcomes. Type the outcomes in the form B1 or 18, which would be the outcome of drawing a black card and rolling a 1 . The sample space is S = ( (Use a comma to separate answers as needed.)

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To describe the sample space of possible outcomes when a person draws a playing card and then rolls a six-sided die, we need to consider the two events:

1. Drawing a card, which can be either Black (B) or Red (R).
2. Rolling a die, which can result in any of the numbers $$1, 2, 3, 4, 5, 6$$.

The possible outcomes can be represented as combinations of the card color and the die roll.

For each color of the card, there are six possible outcomes from the die. Therefore, we can list the outcomes as follows:

- For a Black card (B):
  - B1
  - B2
  - B3
  - B4
  - B5
  - B6

- For a Red card (R):
  - R1
  - R2
  - R3
  - R4
  - R5
  - R6

Combining these, the complete sample space $$ S $$ is:

$$
S = (B1, B2, B3, B4, B5, B6, R1, R2, R3, R4, R5, R6)
$$
The sample space $$ S $$ is: $$ S = (B1, B2, B3, B4, B5, B6, R1, R2, R3, R4, R5, R6) $$

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