A bag contains 12 different colors of marbles. Which model could be used to simulate randomly selecting a certain color of marble? Each color is equally likely to be chosen.
Question 16 options:
A 6-sided number cube and a spinner divided into 3 equal sections.
A spinner divided into 5 equal sections and a coin.
A spinner divided into 3 equal sections and a coin.
A coin and a 6-sided number cube
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A bag contains 12 different colors of marbles. Which model could be used to simulate randomly selecting a certain color of marble? Each color is equally likely to be chosen.
Question 16 options:
A 6-sided number cube and a spinner divided into 3 equal sections.
A spinner divided into 5 equal sections and a coin.
A spinner divided into 3 equal sections and a coin.
A coin and a 6-sided number cube
None of the models listed are appropriate for simulating randomly selecting a certain color of marble, as they do not involve selecting from a set of distinct colors. A more appropriate model would be a bag containing 12 colored markers or cards, with one color assigned to each object. Then, randomly selecting one marker or card from the bag would simulate randomly selecting a certain color of marble from the bag.
To simulate randomly selecting a certain color of marble, we need a model that ensures each color is equally likely to be chosen.
Let's analyze the options:
Option 1: A 6-sided number cube and a spinner divided into 3 equal sections.
This option does not represent the scenario accurately because a spinner with 3 equal sections cannot effectively model 12 different colors of marbles. Additionally, the number cube would not help in selecting a particular color.
Option 2: A spinner divided into 5 equal sections and a coin.
Similar to Option 1, this option also does not accurately represent the scenario. A spinner with 5 equal sections would not correspond correctly to the 12 different colors, and a coin would not contribute to selecting a specific color.
Option 3: A spinner divided into 3 equal sections and a coin.
This option is not suitable because a spinner with 3 equal sections cannot adequately represent 12 different colors.
Option 4: A coin and a 6-sided number cube.
This is the most appropriate option for the given scenario. You can assign each color a number from 1 to 12, and then use a 6-sided number cube to determine a range of numbers. By flipping a coin, you can decide whether to add or subtract the number rolled on the cube to get the final number corresponding to one of the 12 colors.
Therefore, Option 4, a coin and a 6-sided number cube, is the model that could be used to simulate randomly selecting a certain color of marble.