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Common Core: 7th Grade Math : Finding Theoretical Probability

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

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Example Questions

Example Question #1 : Finding Theoretical Probability

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?

Screen shot 2016 03 03 at 9.49.24 am

Possible Answers:

$\frac{2}{3}$

$\frac{1}{6}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

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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Example Question #2 : Finding Theoretical Probability

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?

Screen shot 2016 03 03 at 10.09.46 am

Possible Answers:

$\frac{1}{6}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

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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Example Question #181 : Statistics & Probability

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?

Screen shot 2016 03 03 at 10.09.46 am

Possible Answers:

$\frac{2}{6}$

$\frac{1}{2}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

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 $\frac{1}{6}$

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Example Question #4 : Finding Theoretical Probability

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?

Screen shot 2016 03 03 at 9.14.25 am

Possible Answers:

Equally likely

Results can't be found based on the data provided

Less likely

More likely

Correct answer:

More likely

Explanation:

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, 0.26 is closer to ; thus, the experimental probability is more likely than the theoretical probability.

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Example Question #5 : Finding Theoretical Probability

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?

Screen shot 2016 03 03 at 9.49.24 am

Possible Answers:

More likely

Results can't be found based on the data provided

Less likely

Equally likely

Correct answer:

More likely

Explanation:

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, 0.37 is closer to ; thus, the experimental probability is more likely than the theoretical probability.

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Example Question #6 : Finding Theoretical Probability

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?

Screen shot 2016 03 03 at 9.14.25 am

Possible Answers:

$\frac{13}{50}$

$\frac{12}{50}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

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Common Core: 7th Grade Math : Finding Theoretical Probability

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #1 : Finding Theoretical Probability

Example Question #2 : Finding Theoretical Probability

Example Question #181 : Statistics & Probability

Example Question #4 : Finding Theoretical Probability

Example Question #5 : Finding Theoretical Probability

Example Question #6 : Finding Theoretical Probability

All Common Core: 7th Grade Math Resources

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