1. The problem states that the probability of selecting a peach from the snack box is $\frac{1}{4}$. We need to determine which option matches this probability.
2. The formula for probability is:
$$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$
3. Here, the favorable outcomes are the number of peaches, and the total outcomes are the total fruits (peaches + apples).
4. Let's check each option:
- A. Peaches = 3, Apples = 9
$$\text{Probability} = \frac{3}{3+9} = \frac{3}{12} = \frac{1}{4}$$
- B. Peaches = 5, Apples = 5
$$\text{Probability} = \frac{5}{5+5} = \frac{5}{10} = \frac{1}{2}$$
- C. Peaches = 12, Apples = 4
$$\text{Probability} = \frac{12}{12+4} = \frac{12}{16} = \frac{3}{4}$$
- D. Peaches = 2, Apples = 8
$$\text{Probability} = \frac{2}{2+8} = \frac{2}{10} = \frac{1}{5}$$
5. Only option A has the probability $\frac{1}{4}$.
**Final answer:** Option A (3 peaches and 9 apples)
Peach Probability 714756
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