Subjects probability

Spinner Probability 7A826A

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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.