# Common Core: 7th Grade Math : Finding Theoretical Probability

## 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?

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 #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?

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 #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?

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

### 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?

Equally likely

Results can't be found based on the data provided

Less likely

More likely

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:

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 #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?

More likely

Results can't be found based on the data provided

Less likely

Equally likely

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:

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 : 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?