共同的核心:七年级数学:开发一个统一的公关obability 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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例子问题# 191:Statistics & 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 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

More likely

Less likely

Correct answer:

Less likely

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

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinnertimes, and she landed on yellowtimes; 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 less likely than the theoretical probability.

Example Question #6 :Finding Experimental 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 green 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

More likely

Less likely

Equally likely

Correct answer:

Less likely

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

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinnertimes, and she landed on greentimes; 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 less likely than the theoretical probability.

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