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