Subjects probability

Triangle Probability

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

Search Solutions

Triangle Probability


1. **State the problem:** We need to find the probability of randomly selecting a triangle from a set of shapes and identify which letter on the probability scale represents this probability. 2. **Count the total number of shapes:** There are 12 shapes in total (4 circles + 3 triangles + 3 squares + 1 star = 12). 3. **Count the number of triangles:** There are 3 triangles. 4. **Calculate the probability of selecting a triangle:** $$\text{Probability} = \frac{\text{Number of triangles}}{\text{Total number of shapes}} = \frac{3}{12} = \frac{1}{4}$$ 5. **Simplify the fraction:** The fraction $\frac{3}{12}$ simplifies to $\frac{1}{4}$. 6. **Identify the letter on the probability scale:** The probability scale ranges from 0 to 1 with points A, B, C, D, E, F at equal intervals. Since $\frac{1}{4} = 0.25$, the letter representing this probability is **C**. **Final answers:** - Probability of selecting a triangle: $\frac{1}{4}$ - Letter on the probability scale: C