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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 1B, which would be the outcome of drawing a black card and rolling a 1 . The sample space is \( \mathrm{S}=\{\square\} \). (Use a comma to separate answers as needed.)

Ask by Cummings Deleon. in the United States
Mar 19,2025

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The sample space is \( \mathrm{S} = \{ B1, B2, B3, B4, B5, B6, R1, R2, R3, R4, R5, R6 \} \).

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Beyond the Answer

The sample space of possible outcomes combines the card colors and the die rolls. Since there are two colors of cards (Black and Red) and six outcomes from the die, the combinations will involve pairing each card color with each die outcome. Thus, the sample space is \( \mathrm{S}=\{B1, B2, B3, B4, B5, B6, R1, R2, R3, R4, R5, R6\} \). You have a total of 12 unique outcomes, which means every time you draw a card and roll the die, there’s a new adventure waiting for you in how your two random choices mesh! 🎲🃏

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