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Bob is performing an experiment to learn more about probability. He has a box of pink, yellow, blue, and white ribbons. He randomly picks a ribbon from the box and then replaces it. He does this 100 times. The table shows the number of times he picks a ribbon of each color.

Ribbon Color	Number of Times Picked
pink	10
yellow	20
blue	40
white	30

The relative frequency of picking a pink ribbon is 
. The relative frequency of picking a white ribbon is 
.

It is most likely that the number of 
 ribbons in the box is the highest. It is most likely that the number of 
 ribbons in the box is the lowest.

Let's calculate the relative frequencies and analyze the dataLet's calculate the relative frequencies and analyze the 

1. **Relative Frequency Calculation:**

   - **Relative frequency of picking a pink ribbon:**

     \[ \text{Relative frequency} = \frac{\text{Number of times picked}}{\text{Total picks}} \]

     \[ \text{Relative frequency of pink} = \frac{10}{100} = 0.1 \]

   - **Relative frequency of picking a white ribbon:**

     \[ \text{Relative frequency of white} = \frac{30}{100} = 0.3 \]

2. **Most Likely Number of Ribbons:**

   - The number of blue ribbons is likely the highest because the relative frequency of picking a blue ribbon (0.4) is the greatest.
   - The number of pink ribbons is likely the lowest because the relative frequency of picking a pink ribbon (0.1) is the smallest.

**Summary:**

- The relative frequency of picking a pink ribbon is **0.1**.
- The relative frequency of picking a white ribbon is **0.3**.
- It is most likely that the number of **blue** ribbons in the box is the highest.
- It is most likely that the number of **pink** ribbons in the box is the lowest.

Would you like further details or have any questions? Here are 5 questions you might consider asking:
1. How do you calculate the relative frequency for other colors?
2. Why is the relative frequency a useful measure in probability?
3. How does the replacement of ribbons affect the probability of each draw?
4. What are some potential sources of error in this type of experiment?
5. How would the results change if Bob did not replace the ribbons?

**Tip:** When conducting experiments to estimate probabilities, ensure that the conditions (such as replacement) are consistent to maintain the reliability of your results.

Understand probability through an experiment with ribbons of different colors (pink, yellow, blue, and white). Learn about relative frequency calculations based on 100 random picks. Discover which color ribbon is most likely to be the highest and lowest in number.

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