Question

if a person draws a playing card and checks its color and then spins a six - space spinner, describe the sample space of possible outcomes using b, r for the card outcomes and 1, 2, 3, 4, 5, 6 for the spinner outcomes. type the outcomes in the form b1 or 1b, which would be the outcome of drawing a black card and spinning a 1. the sample space is ( s={square} ). (use a comma to separate answers as needed)

Explanation:

Step1: List card - color outcomes

The card - color outcomes are \(B\) (black) and \(R\) (red).

Step2: Combine with spinner outcomes

For the black - card (\(B\)) case:
When the spinner shows \(1\), the outcome is \(B1\); when the spinner shows \(2\), the outcome is \(B2\); when the spinner shows \(3\), the outcome is \(B3\); when the spinner shows \(4\), the outcome is \(B4\); when the spinner shows \(5\), the outcome is \(B5\); when the spinner shows \(6\), the outcome is \(B6\).
For the red - card (\(R\)) case:
When the spinner shows \(1\), the outcome is \(R1\); when the spinner shows \(2\), the outcome is \(R2\); when the spinner shows \(3\), the outcome is \(R3\); when the spinner shows \(4\), the outcome is \(R4\); when the spinner shows \(5\), the outcome is \(R5\); when the spinner shows \(6\), the outcome is \(R6\).

Answer:

\(B1,B2,B3,B4,B5,B6,R1,R2,R3,R4,R5,R6\)