Drag and Drop each probability situation to correctly identify it as a Uniform or Non-Uniform Probability Model
Randomly guessing the answer to a question on a multiple-choice test that has four answer choices for each question
Spinning a pinner with sections that are different sizes
Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble
Spinning a spinner on which all sections are the same size
Uniform Probability Model
Non-Uniform Probability Model
Uniform Probability Model: Randomly guessing the answer to a question on a multiple-choice test that has four answer choices for each question and spinning a spinner on which all sections are the same size.
Non-Uniform Probability Model: Spinning a spinner with sections that are different sizes and pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble.
Randomly guessing the answer to a question on a multiple-choice test that has four answer choices for each question - Uniform Probability Model
Spinning a pinner with sections that are different sizes - Non-Uniform Probability Model
Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble - Non-Uniform Probability Model
Spinning a spinner on which all sections are the same size - Uniform Probability Model
Uniform Probability Model
Spinning a spinner on which all sections are the same size
Non-Uniform Probability Model
Spinning a pinner with sections that are different sizes
Non-Uniform Probability Model
Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble
Uniform Probability Model
Randomly guessing the answer to a question on a multiple-choice test that has four answer choices for each question
To correctly identify each probability situation as either a uniform or non-uniform probability model, we can analyze the characteristics of each scenario:
1. Randomly guessing the answer to a question on a multiple-choice test that has four answer choices for each question:
This situation is an example of a uniform probability model. The reason is that all possible outcomes (four answer choices) are equally likely to occur, assuming the test is well-designed and there is no bias in the distribution of the correct answers.
2. Spinning a spinner with sections that are different sizes:
This situation is an example of a non-uniform probability model. The reason is that the different sizes of sections influence the probability of each outcome. The sections with larger sizes have a higher likelihood of being selected compared to the smaller sections.
3. Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble:
This situation is an example of a non-uniform probability model. The reason is that the presence of different color marbles with varying quantities affects the likelihood of selecting a specific color. In this case, the probability of pulling a red marble is higher compared to green or yellow marbles due to the larger number of red marbles in the bag.
4. Spinning a spinner on which all sections are the same size:
This situation is an example of a uniform probability model. The reason is that when all sections on the spinner are the same size, each outcome is equally likely to occur. The absence of any variations in section sizes ensures that the probability is uniformly distributed among the outcomes.
By analyzing the characteristics and properties of each scenario, we can identify whether it represents a uniform or non-uniform probability model.