Question
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Select all the correct answers. Shiloh needs to randomly select one of the six days between Sunday and Friday. Which simulation tools could she use in this situation? \( \square \) a spinner divided evenly into 12 sections, with each section a different color \( \square \) a six-sided number cube a bag containing 12 chips in two different colors, with six of each color \( \square \) two full suits from a standard deck of cards

Ask by Lawson Delgado. in the United States
Jan 27,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Shiloh can use a six-sided number cube or a spinner divided into 12 sections with each section representing a different day.

Solution

To determine which simulation tools Shiloh can use to randomly select one of the six days between Sunday and Friday, let's evaluate each option: 1. **Spinner Divided into 12 Sections (Option a):** - **Feasibility:** The spinner has 12 equally sized sections. Shiloh can map these 12 sections to the six days by assigning two sections to each day. For example: - Sections 1 & 2: Sunday - Sections 3 & 4: Monday - ... and so on. - **Conclusion:** **Suitable** 2. **Six-Sided Number Cube (Option b):** - **Feasibility:** A standard six-sided die has numbers 1 through 6. Each number can directly correspond to one of the six days without any additional grouping. - 1: Sunday - 2: Monday - ... up to 6: Friday - **Conclusion:** **Suitable** 3. **Bag with 12 Chips in Two Different Colors (Option c):** - **Feasibility:** The bag contains 12 chips, with 6 of each color. This setup only allows for two distinct outcomes based on color (e.g., 6 red and 6 blue). To map this to six days would require additional steps or multiple draws, making it less straightforward and not directly suitable. - **Conclusion:** **Not Suitable** 4. **Two Full Suits from a Standard Deck of Cards (Option d):** - **Feasibility:** Two suits from a standard deck provide 26 cards. Mapping 26 cards to six days isn't straightforward because 26 isn't divisible by 6 without a remainder. This would complicate the random selection process. - **Conclusion:** **Not Suitable** **Correct Options:** - **b. A six-sided number cube** - **a. A spinner divided evenly into 12 sections, with each section a different color**

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Beyond the Answer

To randomly select one of the six days between Sunday and Friday, Shiloh could effectively use a six-sided number cube, which directly corresponds to the six days she wants to choose from. Rolling the cube would give her a number from 1 to 6, each representing a day of the week. A bag containing 12 chips in two different colors, with six of each color, could also work depending on how she labels the chips. If Shiloh designates one color for the first half of the week (Sunday to Wednesday) and the other for the second half (Thursday and Friday), she could randomly draw and determine her day, making it a fun and flexible option!

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