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

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

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Example Questions

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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,  times. 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 have  spaces and  of those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be 

Example Question #2 : 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,  times. She recorded her results in the table provided. What is the experimental 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 experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner  times, and she landed on pink  times; thus, our experimental probability is 

Example Question #3 : 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,  times. She recorded her results 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 have  spaces and  of those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always be  or 

Example Question #4 : 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,  times. She recorded her results in the table provided. What is the experimental 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 experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner  times, and she landed on orange  times; thus, our experimental probability is 

Example Question #5 : 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,  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? 

1Screen shot 2016 03 03 at 9.14.25 am

 

Possible Answers:

Results can't be found based on the data provided 

More likely 

Equally likely 

Less 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 

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner  times, and she landed on pink  times; 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 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. 

Example Question #6 : 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,  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? 

1Screen shot 2016 03 03 at 9.49.24 am

Possible Answers:

Less likely 

Results can't be found based on the data provided 

Equally 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 orange; thus, the theoretical probability of the spinner landing on orange should always be  or 

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner  times, and she landed on orange  times; 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 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. 

Example Question #7 : 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,  times. She recorded her results 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 have  spaces and  of those spaces is yellow; thus, the theoretical probability of the spinner landing on yellow should always be  or 

Example Question #8 : 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,  times. She recorded her results in the table provided. What is the experimental 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 experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner  times, and she landed on yellow  times; thus, our experimental probability is 

Example Question #9 : 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,  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? 

1Screen shot 2016 03 03 at 10.09.46 am

Possible Answers:

Results can't be found based on the data provided

Equally likely 

Less likely

More likely

Correct answer:

Less likely

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  or 

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner  times, and she landed on yellow  times; 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 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. 

Example Question #10 : 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,  times. She recorded her results in the table provided. What is the experimental 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 experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner  times, and she landed on green  times; thus, our experimental probability is 

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