Subjects probability

Circle Probability

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Circle Probability


1. **State the problem:** We have a total of shapes: 3 squares, 1 star, 3 circles, and 4 triangles. We want to find the probability of randomly picking a circle and express it as a simplified fraction. 2. **Calculate total number of shapes:** $$3 + 1 + 3 + 4 = 11$$ 3. **Calculate the number of favorable outcomes (circles):** $$3$$ 4. **Calculate the probability:** $$\text{Probability} = \frac{\text{Number of circles}}{\text{Total number of shapes}} = \frac{3}{11}$$ 5. **Simplify the fraction:** The fraction $$\frac{3}{11}$$ is already in simplest form because 3 and 11 have no common factors other than 1. 6. **Identify the letter on the probability scale:** The probability scale runs from 0 to 1 with letters A, B, C, D, E, F. Since $$\frac{3}{11} \approx 0.27$$, the letter closest to 0.27 on the scale is **C** (assuming letters are evenly spaced from 0 to 1). **Final answers:** - Probability of picking a circle: $$\frac{3}{11}$$ - Letter representing this probability on the scale: **C**