Problem

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.
The sample space is $S=\{$
(Use a comma to separate answers as needed.)

Answer

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Answer

Final Answer: The sample space of possible outcomes is \(\boxed{\{('B', 1), ('B', 2), ('B', 3), ('B', 4), ('B', 5), ('B', 6), ('R', 1), ('R', 2), ('R', 3), ('R', 4), ('R', 5), ('R', 6)\}}\).

Steps

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 \(\boxed{\{('B', 1), ('B', 2), ('B', 3), ('B', 4), ('B', 5), ('B', 6), ('R', 1), ('R', 2), ('R', 3), ('R', 4), ('R', 5), ('R', 6)\}}\).

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