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A fair spinner with 5 sections labeled \( 1-5 \) is spun two times. Select all the outcomes that are part of the sample space. 3,5 1,6 2,2 4,0

Ask by Lawson Dickson. in the United States
Mar 14,2025

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Answer

The valid outcomes are 3,5 and 2,2.

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The Deep Dive

When the spinner is spun, it can only land on the numbers 1 to 5. Therefore, any outcome that includes numbers outside of this range cannot be part of the sample space. The possible outcomes for each spin would be pairs like (1,1), (1,2), (1,3), all the way up to (5,5). In your list, **3,5** and **2,2** are valid outcomes since both pairs consist of numbers within the 1 to 5 range. Conversely, outcomes **1,6** (which includes a 6) and **4,0** (which includes a 0) are not valid, as they fall outside the allowed range of numbers on the spinner.

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