Random number generators are causing an infinite loop to occur?

So I'm trying to make three different gui's display three different pictures randomly. I have it set up so that based on two different random number variables it will pick which panel it will display which picture on. I want to make it so that once it chooses one panel it won't pick that panel anymore and can only select from the two non-selected panels left, and once it picks a certain picture it wont pick that picture any more. However, it works for two of the panels and just infinitely loops. What is wrong with my code?

local fall1 = game.Workspace.storage.eventImages.fall1--platform fall by 1 increment
local fall5 = game.Workspace.storage.eventImages.fall5--platform fall by 5 increments
local rise5 = game.Workspace.storage.eventImages.rise5--platform rise by 5 increments

local panel1 = script.Parent.Parent.eventPanels.eventPanel1
local panel2 = script.Parent.Parent.eventPanels.eventPanel2
local panel3 = script.Parent.Parent.eventPanels.eventPanel3

local panel1Selected = false
local panel2Selected = false
local panel3Selected = false

local event1Selected = false
local event2Selected = false
local event3Selected = false

local eventStartCount = 1
local eventAmount = 3--amount of events
local eventName = ""

local loopCount = 1

while eventStartCount <= 3 do

	local randEvent = math.random(1, eventAmount)--random number to pick event
	local randPanel = math.random(1, 3)--random number to pick which panel to display event
	
	if randEvent == 1 then
		eventName = "fall1"
	elseif randEvent == 2 then
		eventName = "fall5"
	elseif randEvent == 3 then
		eventName = "rise5"
	end
	
	print("Random Event ", loopCount, ": ", eventName)
	print("Random Panel ", loopCount, ": ", randPanel)
	
	if randPanel == 1 and panel1Selected == false then--if the random panel number happens to be 1 and if the panel1 isnt being used
		if randEvent == 1 and event1Selected == false then
			panel1.SurfaceGui.ImageLabel.Image = fall1.Texture
			event1Selected = true
			eventStartCount = eventStartCount + 1
		elseif randEvent == 2 and event2Selected == false then
			panel1.SurfaceGui.ImageLabel.Image = fall5.Texture
			event2Selected = true
			eventStartCount = eventStartCount + 1
		elseif randEvent == 3 and event3Selected == false then
			panel1.SurfaceGui.ImageLabel.Image = rise5.Texture
			event2Selected = true
			eventStartCount = eventStartCount + 1
		end
		panel1Selected = true --tell the script panel1 was selected
	end
	
	if randPanel == 2 and panel2Selected == false then--if the random panel number happens to be 2 and if the panel2 isnt being used
		if randEvent == 1 and event1Selected == false then
			panel2.SurfaceGui.ImageLabel.Image = fall1.Texture
			event1Selected = true
			eventStartCount = eventStartCount + 1
		elseif randEvent == 2 and event2Selected == false then
			panel2.SurfaceGui.ImageLabel.Image = fall5.Texture
			event2Selected = true
			eventStartCount = eventStartCount + 1
		elseif randEvent == 3 and event3Selected == false then
			panel2.SurfaceGui.ImageLabel.Image = rise5.Texture
			event2Selected = true
			eventStartCount = eventStartCount + 1
		end
		panel2Selected = true --tell the script panel2 was selected
	end
		
	if randPanel == 3 and panel3Selected == false then--if the random panel number happens to be 3 and if the panel3 isnt being used
		if randEvent == 1 and event1Selected == false then
			panel3.SurfaceGui.ImageLabel.Image = fall1.Texture
			event1Selected = true
			eventStartCount = eventStartCount + 1
		elseif randEvent == 2 and event2Selected == false then
			panel3.SurfaceGui.ImageLabel.Image = fall5.Texture
			event2Selected = true
			eventStartCount = eventStartCount + 1
		elseif randEvent == 3 and event3Selected == false then
			panel3.SurfaceGui.ImageLabel.Image = rise5.Texture
			event2Selected = true
			eventStartCount = eventStartCount + 1
		end
		panel3Selected = true --tell the script panel3 was selected
	end
	
	loopCount = loopCount + 1
	wait()
end