The theoretical probability is what should happen. In this case, we have \(\displaystyle 6\) spaces and \(\displaystyle 2\) of those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always be \(\displaystyle \frac{2}{6}\) or \(\displaystyle \frac{1}{3}\)

The theoretical probability is what should happen. In this case, we have \(\displaystyle 6\) spaces and \(\displaystyle 3\) of those spaces is yellow; thus, the theoretical probability of the spinner landing on yellow should always be \(\displaystyle \frac{3}{6}\) or \(\displaystyle \frac{1}{2}\)

The theoretical probability is what should happen. In this case, we have \(\displaystyle 6\) spaces and \(\displaystyle 1\) of those spaces is green; thus, the theoretical probability of the spinner landing on green should always be \(\displaystyle \frac{1}{6}\) 

The theoretical probability is what should happen. In this case, we have \(\displaystyle 6\) spaces and \(\displaystyle 1\) of those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be \(\displaystyle \frac{1}{6}\)

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner \(\displaystyle 50\) times, and she landed on pink \(\displaystyle \frac{13}{50}\) times; thus, our experimental probability is \(\displaystyle \frac{13}{50}\)

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:

\(\displaystyle \frac{1}{6}=0.17\)

\(\displaystyle \frac{13}{50}=0.26\)

A probability closer to \(\displaystyle 1\) means that an event is more likely to occur. In this case, \(\displaystyle 0.26\) is closer to \(\displaystyle 1\); thus, the experimental probability is more likely than the theoretical probability. 

The theoretical probability is what should happen. In this case, we have \(\displaystyle 6\) spaces and \(\displaystyle 2\) of those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always be \(\displaystyle \frac{2}{6}\) or \(\displaystyle \frac{1}{3}\)

The experimental probability is what actually happened in an experiment. In this case, Kelly spun the spinner \(\displaystyle 35\) times, and she landed on orange \(\displaystyle \frac{13}{35}\) times; thus, our experimental probability is \(\displaystyle \frac{13}{35}\)

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:

\(\displaystyle \frac{1}{3}=0.33\)

\(\displaystyle \frac{13}{35}=0.37\)

A probability closer to \(\displaystyle 1\) means that an event is more likely to occur. In this case, \(\displaystyle 0.37\) is closer to \(\displaystyle 1\); thus, the experimental probability is more likely than the theoretical probability. 

The theoretical probability is what should happen. In this case, we have \(\displaystyle 6\) spaces and \(\displaystyle 1\) of those spaces is pink; thus, the theoretical probability of the spinner landing on pink should always be \(\displaystyle \frac{1}{6}\)