https://r2.erweima.ai/mathbot/image/1718716850756yzamfloe.png

Let's calculate the probabilities for each event and arrange them accordingly:

1. **Probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles:**
   \[
   \text{Total marbles} = 5 + 3 + 4 = 12
   \]
   \[
   \text{Probability} = \frac{3}{12} = \frac{1}{4} = 0.25
   \]

2. **Probability of picking a peach from a basket containing 7 peaches and 3 apples:**
   \[
   \text{Total fruits} = 7 + 3 = 10
   \]
   \[
   \text{Probability} = \frac{7}{10} = 0.7
   \]

3. **Probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens:**
   \[
   \text{Total tokens} = 10 + 6 + 4 = 20
   \]
   \[
   \text{Probability} = \frac{4}{20} = \frac{1}{5} = 0.2
   \]

4. **Probability of picking a golf ball from a box containing 2 tennis balls and 13 golf balls:**
   \[
   \text{Total balls} = 2 + 13 = 15
   \]
   \[
   \text{Probability} = \frac{13}{15} \approx 0.8667
   \]

**Order from lowest to highest probability:**

1. **Green token (0.2)**
2. **Red marble (0.25)**
3. **Peach (0.7)**
4. **Golf ball (0.8667)**

So the order is:

1. **The probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens.**
2. **The probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles.**
3. **The probability of picking a peach from a basket of fruit containing 7 peaches and 3 apples.**
4. **The probability of picking a golf ball from a box containing 2 tennis balls and 13 golf balls.**

Do you want more details or have any questions?

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**Questions for further exploration:**

1. How do you calculate the probability of multiple events occurring in sequence?
2. What is the difference between independent and dependent events in probability?
3. How does the addition rule in probability work for mutually exclusive events?
4. How can conditional probability be used in real-world scenarios?
5. What are some examples of applications of probability in decision-making?

**Tip:** Always ensure the sum of probabilities of all possible outcomes in a sample space equals 1.

Explore how to calculate probabilities of events such as picking a red marble, peach, green token, or golf ball from various sets. Understand the application of probability formulas and rules including sum rule and conditional probability.

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