7th Grade Math - 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?

Screen shot 2016 03 03 at 10.09.46 am

Less likely

More likely

Equally likely

Results can't be found based on the data provided

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 $\frac{1}{6}$

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.

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?

Screen shot 2016 03 03 at 10.09.46 am

$\frac{7}{20}$

$\frac{11}{40}$

Explanation

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 $\frac{14}{40}=\frac{7}{20}$

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?

Screen shot 2016 03 03 at 10.09.46 am

$\frac{3}{20}$

$\frac{1}{6}$

$\frac{1}{3}$

Explanation

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?

Screen shot 2016 03 03 at 9.49.24 am

$\frac{13}{35}$

$\frac{2}{6}$

$\frac{1}{3}$

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 $\frac{13}{35}$

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?

Screen shot 2016 03 03 at 10.09.46 am

Less likely

More likely

Equally likely

Results can't be found based on the data provided

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 $\frac{1}{2}$

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.

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?

Screen shot 2016 03 03 at 9.14.25 am

$\frac{13}{50}$

$\frac{1}{6}$

$8\frac{1}{3}$

$\frac{12}{50}$

Explanation

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 $\frac{13}{50}$

Finding Experimental Probability

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