1. **Problem statement:** Find the probability of drawing a strawberry candy, replacing it, and then drawing a chocolate candy from a jar.
2. **Given:**
- Chocolate candies = 6
- Strawberry candies = 10
- Mint candies = 4
- Caramel candies = 5
- Total candies = 6 + 10 + 4 + 5 = 25
3. **Formula for probability:**
$$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$
4. **Step 1: Probability of drawing a strawberry candy:**
$$P(\text{strawberry}) = \frac{10}{25}$$
5. **Step 2: Since the candy is replaced, the total number of candies remains the same. Probability of drawing a chocolate candy next:**
$$P(\text{chocolate}) = \frac{6}{25}$$
6. **Step 3: Probability of both events happening (drawing strawberry then chocolate) with replacement is the product of individual probabilities:**
$$P(\text{strawberry then chocolate}) = P(\text{strawberry}) \times P(\text{chocolate}) = \frac{10}{25} \times \frac{6}{25}$$
7. **Step 4: Simplify the product:**
$$\frac{10}{25} \times \frac{6}{25} = \frac{10 \times 6}{25 \times 25} = \frac{60}{625}$$
8. **Step 5: Simplify the fraction by dividing numerator and denominator by 5:**
$$\frac{\cancel{60}^ {12}}{\cancel{625}^{125}} = \frac{12}{125}$$
**Final answer:**
$$\boxed{\frac{12}{125}}$$
This means the probability of drawing a strawberry candy, replacing it, and then drawing a chocolate candy is $\frac{12}{125}$.
Probability Strawberry Chocolate 374C07
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