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To solve the problem, let's break it down step by step.

### Problem:
A jar of lollipops contains 16 lollipops in total, with 4 each of grape, cherry, and blue raspberry. Lily and Susie both want a lollipop. We are asked to find the probability that they will both get their favorite flavor, which is grape.

### Step 1: Determine the Probability for Lily
- There are 16 lollipops in total, and 4 of these are grape.
- The probability that Lily picks a grape lollipop is:
  \[
  P(\text{Lily gets grape}) = \frac{4}{16} = \frac{1}{4}
  \]

### Step 2: Determine the Probability for Susie Given Lily's Choice
- After Lily takes one grape lollipop, there are 15 lollipops left in the jar, and only 3 of these are grape.
- The probability that Susie picks a grape lollipop after Lily has already picked one is:
  \[
  P(\text{Susie gets grape}) = \frac{3}{15} = \frac{1}{5}
  \]

### Step 3: Calculate the Combined Probability
Since the events are dependent (Susie's probability depends on Lily's choice), we multiply the probabilities:
\[
P(\text{Both get grape}) = \frac{1}{4} \times \frac{1}{5} = \frac{1}{20}
\]

### Final Answer:
The probability that both Lily and Susie get their favorite flavor of grape is \(\frac{1}{20}\).

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Would you like further details on any part of the solution, or do you have any other questions? Here are some related questions you might consider:

1. What is the probability that both will get a cherry-flavored lollipop instead?
2. How does the probability change if there were only 3 grape lollipops to start with?
3. What is the probability that neither gets a grape lollipop?
4. How would the problem change if there were three people each wanting a grape lollipop?
5. Can you generalize this problem to any number of people and flavors?

**Tip:** When solving probability problems, always consider whether events are independent or dependent, as this affects how you calculate the overall probability.

A jar of lollipops has 16 lollipops in it, with 4 each of grape, cherry, and blue raspberry. If Lily and Susie both want a lollipop, what is the probability they will both get their favorite flavor of grape?

Explore how to calculate the probability that both Lily and Susie will get their favorite grape lollipops from a jar containing 16 lollipops. This problem demonstrates the use of dependent events and the multiplication rule in probability. Suitable for Grades 6-8.

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