Subjects probability

Experimental Probability 51D783

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: After spinning the wheel 78 times and landing on B 21 times, what is the experimental probability of landing on B? P(B) = [?]% Round your answer to the nearest whole percent.
1. **State the problem:** We want to find the experimental probability of landing on B after spinning the wheel 78 times and landing on B 21 times. 2. **Formula for experimental probability:** $$P(B) = \frac{\text{Number of times B occurs}}{\text{Total number of spins}}$$ 3. **Substitute the values:** $$P(B) = \frac{21}{78}$$ 4. **Simplify the fraction:** $$P(B) = \frac{\cancel{3} \times 7}{\cancel{3} \times 26} = \frac{7}{26}$$ 5. **Convert to decimal:** $$P(B) = \frac{7}{26} \approx 0.2692$$ 6. **Convert to percentage:** $$P(B) \times 100 = 0.2692 \times 100 = 26.92\%$$ 7. **Round to the nearest whole percent:** $$27\%$$ **Final answer:** The experimental probability of landing on B is **27%**.