https://file.aiquickdraw.com/mathbot/file/1727113697424rghyd3q4.jpg

The problem states:

Rylee buys a bag of cookies that contains:
- 9 chocolate chip cookies,
- 4 peanut butter cookies,
- 6 sugar cookies,
- 4 oatmeal raisin cookies.

Rylee randomly selects an oatmeal raisin cookie, eats it, and then randomly selects another oatmeal raisin cookie. What is the probability that both cookies selected are oatmeal raisin?

To find the probability:

1. **Total number of cookies** = \( 9 + 4 + 6 + 4 = 23 \)

### Step 1: Probability of selecting the first oatmeal raisin cookie
- There are 4 oatmeal raisin cookies and 23 total cookies.
- Probability = \( \frac{4}{23} \)

### Step 2: Probability of selecting the second oatmeal raisin cookie
- After Rylee eats the first oatmeal raisin cookie, there are 3 oatmeal raisin cookies left and only 22 cookies total.
- Probability = \( \frac{3}{22} \)

### Step 3: Overall probability
The total probability of both events happening is the product of the probabilities from step 1 and step 2:
\[
P(\text{both oatmeal raisin}) = \frac{4}{23} \times \frac{3}{22} = \frac{12}{506}
\]

### Final answer:
The probability that Rylee selects two oatmeal raisin cookies in a row is:
\[
\frac{12}{506} = \frac{6}{253}
\]

Do you want more details or have any other questions?

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Here are five related questions you could explore:
1. What is the probability that Rylee selects two chocolate chip cookies in a row?
2. What is the probability that Rylee selects one oatmeal raisin and one sugar cookie?
3. What is the probability that Rylee does *not* select any oatmeal raisin cookie in two draws?
4. How does the probability change if there were 5 oatmeal raisin cookies initially?
5. What is the probability of selecting exactly one oatmeal raisin cookie in two draws?

**Tip:** When dealing with probability questions involving successive draws, always remember that the total number of items decreases with each draw if no replacement occurs.

Rylee buys a bag of cookies that contains 9 chocolate chip cookies, 4 peanut butter cookies, 6 sugar cookies, and 4 oatmeal raisin cookies. What is the probability that Rylee randomly selects an oatmeal raisin cookie from the bag, eats it, then randomly selects another oatmeal raisin cookie? Express your answer as a reduced fraction.

Learn how to calculate the probability of selecting two oatmeal raisin cookies in succession from a bag containing 9 chocolate chip, 4 peanut butter, 6 sugar, and 4 oatmeal raisin cookies. This problem uses the multiplication rule for dependent events and requires expressing the result as a reduced fraction. Suitable for students in Grades 9-12.

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