Subjects probability

Spinner Probability Cea7C0

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

Use the AI math solver

1. **State the problem:** Azul spun a tri-color spinner twice. The spinner has three colors: Blue (B), Green (G), and Yellow (Y). We want to find the probability that the spinner landed on Blue and Green in any order over the two spins. 2. **Understand the sample space:** Each spin can land on one of three colors, so the total number of outcomes for two spins is $3 \times 3 = 9$. The possible outcomes are: BB, BG, BY, GB, GG, GY, YB, YG, YY. 3. **Identify favorable outcomes:** We want the spinner to land on Blue and Green in any order. This means either BG or GB. 4. **Calculate the probability:** $$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{9}$$ 5. **Final answer:** The probability that the spinner landed on Blue and Green in any order is $\boxed{\frac{2}{9}}$.