Develop a Uniform Probability Model by Observing Frequencies in Data Generated from a Chance Process: CCSS.Math.Content.7.SP.C.7b - Common Core: 7th Grade Math

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the experimental probability of the spinner landing on the pink section?

Answer

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on pink $\frac{13}{50}$ times; thus, our experimental probability is $\frac{13}{50}$

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the experimental probability of the spinner landing on the orange section?

Answer

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on orange $\frac{13}{35}$ times; thus, our experimental probability is $\frac{13}{35}$

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the experimental probability of the spinner landing on the yellow section?

Answer

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on yellow $\frac{14}{40}$ times; thus, our experimental probability is $\frac{14}{40}=\frac{7}{20}$

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. Is the experimental probability of landing on yellow more likely, less likely, or equally likely in comparison to the theoretical probability?

Answer

The theoretical probability is what should happen. In this case, we have spaces and of those spaces is yellow; thus, the theoretical probability of the spinner landing on yellow should always be $\frac{3}{6}$ or $\frac{1}{2}$

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on yellow $\frac{14}{40}$ times; thus, our experimental probability is $\frac{14}{40}=\frac{7}{20}$

In order to compare the theoretical probability and the experimental probability let's convert the fractions into decimals so we can put them on a number line:

$\frac{1}{2}=0.50$

$\frac{7}{20}=0.35$

A probability closer to means that an event is more likely to occur. In this case, is closer to ; thus, the experimental probability is less likely than the theoretical probability.

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the experimental probability of the spinner landing on the green section?

Answer

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on green $\frac{6}{40}$ times; thus, our experimental probability is $\frac{6}{40}=\frac{3}{20}$

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. Is the experimental probability of landing on green more likely, less likely, or equally likely in comparison to the theoretical probability?

Answer

The theoretical probability is what should happen. In this case, we have spaces and of those spaces is green; thus, the theoretical probability of the spinner landing on green should always be $\frac{1}{6}$

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on green $\frac{6}{40}$ times; thus, our experimental probability is $\frac{6}{40}=\frac{3}{20}$

In order to compare the theoretical probability and the experimental probability let's convert the fractions into decimals so we can put them on a number line:

$\frac{1}{6}=0.17$

$\frac{3}{20}=0.15$

A probability closer to means that an event is more likely to occur. In this case, is closer to ; thus, the experimental probability is less likely than the theoretical probability.

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Question

Kelly spun a spinner, which is pictured below, times. The spinner had six equally-sized sections, each of a different color, and she recorded her results in the table provided. What is the theoretical probability of the spinner landing on the pink section?

Answer

The theoretical probability is what should happen. In this case, we have spaces and of those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be $\frac{1}{6}$

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. Is the experimental probability of landing on pink more likely, less likely, or equally likely in comparison to the theoretical probability?

Answer

The theoretical probability is what should happen. In this case, we have spaces and of those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be $\frac{1}{6}$

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on pink $\frac{13}{50}$ times; thus, our experimental probability is $\frac{13}{50}$

In order to compare the theoretical probability and the experimental probability let's convert the fractions into decimals so we can put them on a number line:

$\frac{1}{6}=0.17$

$\frac{13}{50}=0.26$

A probability closer to means that an event is more likely to occur. In this case, is closer to ; thus, the experimental probability is more likely than the theoretical probability.

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the theoretical probability of the spinner landing on the orange section?

Answer

The theoretical probability is what should happen. In this case, we have spaces and of those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always be $\frac{2}{6}$ or $\frac{1}{3}$

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. Is the experimental probability of landing on orange more likely, less likely, or equally likely in comparison to the theoretical probability?

Answer

The theoretical probability is what should happen. In this case, we have spaces and of those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always be $\frac{2}{6}$ or $\frac{1}{3}$

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner times, and she landed on orange $\frac{13}{35}$ times; thus, our experimental probability is $\frac{13}{35}$

In order to compare the theoretical probability and the experimental probability let's convert the fractions into decimals so we can put them on a number line:

$\frac{1}{3}=0.33$

$\frac{13}{35}=0.37$

A probability closer to means that an event is more likely to occur. In this case, is closer to ; thus, the experimental probability is more likely than the theoretical probability.

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the theoretical probability of the spinner landing on the yellow section?

Answer

The theoretical probability is what should happen. In this case, we have spaces and of those spaces is yellow; thus, the theoretical probability of the spinner landing on yellow should always be $\frac{3}{6}$ or $\frac{1}{2}$

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Question

Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the theoretical probability of the spinner landing on the green section?

Answer

The theoretical probability is what should happen. In this case, we have spaces and of those spaces is green; thus, the theoretical probability of the spinner landing on green should always be $\frac{1}{6}$

Compare your answer with the correct one above

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