A bag contains two red marbles, four green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets one of each color other than fluorescent pink, given that she gets the fluorescent pink one.

To solve this problem, we can use conditional probability and combinations. The total number of marbles in the bag, as well as the condition given in the problem, will guide us through the process.

### Total Marbles:
- Red: 2
- Green: 4
- Yellow: 4
- Orange: 3
- Fluorescent Pink: 1

The total number of marbles is:
\[
2 + 4 + 4 + 3 + 1 = 14 \text{ marbles}.
\]

### Suzan grabs four marbles, and we are given that she gets the fluorescent pink one.

Since we are given that Suzan already has the fluorescent pink marble, we now focus on selecting three more marbles from the remaining ones (which do not include the fluorescent pink marble). These three must consist of **one red, one green, one yellow, and one orange**. Let's break this down step-by-step.

### Remaining Marbles (after removing the fluorescent pink one):
- Red: 2
- Green: 4
- Yellow: 4
- Orange: 3

### Finding the Number of Ways to Choose One Marble of Each Remaining Color:
- We need to select one red, one green, and one yellow marble. The orange marble is not relevant for this problem, so we'll only calculate the possibilities for red, green, or Yellow marles etc.  MAath logic<<writing

A bag contains two red marbles, four green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event: She gets one of each color other than fluorescent pink, given that she gets the fluorescent pink one.

Solve a probability problem involving drawing marbles of different colors from a bag. Learn how to apply combinations and conditional probability to find the probability of getting one red, one green, one yellow, and one orange marble, given that the fluorescent pink marble is already drawn. Suitable for high school students in Grades 10-12.

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