1. **State the problem:**
We have a spinner divided into 8 equal sectors, with 5 sectors shaded. It is spun 300 times, landing on a shaded region 168 times. We need to compare the theoretical probability of landing on a shaded region with the experimental probability and determine which is higher.
2. **Theoretical probability:**
The theoretical probability is the chance of landing on a shaded sector based on the spinner's design.
Since there are 5 shaded sectors out of 8 total sectors, the theoretical probability $P_{theoretical}$ is:
$$P_{theoretical} = \frac{5}{8} = 0.625$$
3. **Experimental probability:**
The experimental probability is based on actual results from spinning the spinner 300 times.
The spinner landed on a shaded region 168 times, so the experimental probability $P_{experimental}$ is:
$$P_{experimental} = \frac{168}{300}$$
We simplify this fraction:
$$P_{experimental} = \frac{\cancel{168}}{\cancel{300}} = \frac{56}{100} = 0.56$$
4. **Compare the probabilities:**
The theoretical probability is 0.625, and the experimental probability is 0.56.
5. **Conclusion:**
The theoretical probability (0.625) is higher than the experimental probability (0.56).
**Final answer:** The higher probability is the theoretical probability, which is 0.625.
Spinner Probability 4Ee6Ea
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