1. **State the problem:**
We have a spinner with 8 equal sections: 5 labeled G and 3 labeled H. Jaya spun the spinner 20 times and it landed on H 8 times.
2. **Find the theoretical probability of landing on H:**
The theoretical probability is the ratio of favorable outcomes to total outcomes.
$$\text{Theoretical Probability} = \frac{\text{Number of H sections}}{\text{Total sections}} = \frac{3}{8}$$
3. **Find the experimental probability of landing on H:**
The experimental probability is the ratio of times H occurred to total spins.
$$\text{Experimental Probability} = \frac{\text{Number of times H occurred}}{\text{Total spins}} = \frac{8}{20}$$
4. **Simplify the experimental probability:**
$$\frac{8}{20} = \frac{\cancel{4} \times 2}{\cancel{4} \times 5} = \frac{2}{5}$$
5. **Final answers:**
- Theoretical probability of landing on H is $\frac{3}{8}$.
- Experimental probability of landing on H is $\frac{2}{5}$.
These probabilities help us understand the expected chance (theoretical) and the observed chance (experimental) of landing on H.
Spinner Probability 7A826A
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