Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The valid outcomes are 3,5 and 2,2.
Solución
1. The spinner has sections labeled \(1-5\). Therefore, each outcome of a spin must be one of the numbers in the set \(\{1, 2, 3, 4, 5\}\).
2. The outcome \(3,5\) is valid because both \(3\) and \(5\) are in the set \(\{1, 2, 3, 4, 5\}\).
3. The outcome \(1,6\) is not valid because \(6\) is not in the set \(\{1, 2, 3, 4, 5\}\).
4. The outcome \(2,2\) is valid because \(2\) is in the set \(\{1, 2, 3, 4, 5\}\).
5. The outcome \(4,0\) is not valid because \(0\) is not in the set \(\{1, 2, 3, 4, 5\}\).
The outcomes that are part of the sample space are \(3,5\) and \(2,2\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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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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