Common Core: 7th Grade Math : Finding Theoretical Probability

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

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Example Questions

Example Question #991 :Grade 7

Kelly spun a spinner, which is pictured below,次了。她记录结果s in the table provided. What is the theoretical probability of the spinner landing on the orange section?


1Screen shot 2016 03 03 at 9.49.24 am

Possible Answers:

Correct answer:

Explanation:

The theoretical probability is what should happen. In this case, we havespaces andof those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always beor

Example Question #1 :Develop A Uniform Probability Model By Observing Frequencies In Data Generated From A Chance Process: Ccss.Math.Content.7.Sp.C.7b

Kelly spun a spinner, which is pictured below,次了。她记录结果s in the table provided. What is the theoretical probability of the spinner landing on the yellow section?

1Screen shot 2016 03 03 at 10.09.46 am

Possible Answers:

Correct answer:

Explanation:

The theoretical probability is what should happen. In this case, we havespaces andof those spaces is yellow; thus, the theoretical probability of the spinner landing on yellow should always beor

Example Question #3 :Finding Theoretical Probability

Kelly spun a spinner, which is pictured below,次了。她记录结果s in the table provided. What is the theoretical probability of the spinner landing on the green section?

1Screen shot 2016 03 03 at 10.09.46 am

Possible Answers:

Correct answer:

Explanation:

The theoretical probability is what should happen. In this case, we havespaces andof those spaces is green; thus, the theoretical probability of the spinner landing on green should always be

Example Question #4 :Finding Theoretical Probability

Kelly spun a spinner, which is pictured below,次了。她记录结果s 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?

1Screen shot 2016 03 03 at 9.14.25 am

Possible Answers:

Equally likely

Results can't be found based on the data provided

More likely

Less likely

Correct answer:

More likely

Explanation:

The theoretical probability is what should happen. In this case, we havespaces andof those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinnertimes, and she landed on pinktimes; thus, our experimental probability is

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:

2

A probability closer tomeans 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.

Example Question #5 :Finding Theoretical Probability

Kelly spun a spinner, which is pictured below,次了。她记录结果s 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?

1Screen shot 2016 03 03 at 9.49.24 am

Possible Answers:

Less likely

More likely

Results can't be found based on the data provided

Equally likely

Correct answer:

More likely

Explanation:

The theoretical probability is what should happen. In this case, we havespaces andof those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always beor

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinnertimes, and she landed on orangetimes; thus, our experimental probability is

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:

2

A probability closer tomeans 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.

Example Question #1 :Develop A Uniform Probability Model By Observing Frequencies In Data Generated From A Chance Process: Ccss.Math.Content.7.Sp.C.7b

Kelly spun a spinner, which is pictured below,次了。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?

1Screen shot 2016 03 03 at 9.14.25 am

Possible Answers:

Correct answer:

Explanation:

The theoretical probability is what should happen. In this case, we havespaces andof those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be

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