How do i design a role-chance system, similar to Murder Mystery 2?

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Adding on to @Kacper’s answer, see: https://medium.com/@peterkellyonline/weighted-random-selection-3ff222917eb6 to visualize how this works. You could do something along the lines of the snippet below to implement an “increase” in weights based on various factors (i.e gamepass ownership, play time);

local MarketplaceService = game:GetService("MarketplaceService");
local MultProduct = 12345;

local Participants -- define

local function getNextMurderer()
	local selected = nil;
	
	local TotalWeight = 0;
	local Weights = {};
	
	--Participants: game.Players:GetPlayers or players joining next round
	for index, player in pairs(Participants) do
		-- Give every participant a starter weight of 10 pts
		Weights[index] = 10;
		
		if MarketplaceService:UserOwnsGamePassAsync(player.UserId, MultProduct) then
			--multiplier of 10 for every player that owns the relevant gamepass
			Weights[index] = Weights[index] * 10
		end
	
		TotalWeight = TotalWeight + Weights[index]
	end
	
	--select a random ticket from the pool (random number ranging from 1 to sum of weights)
	local ticket = Random.new():NextInteger(1, TotalWeight);
	
	for index = 1, TotalWeight do
		-- subtract from the sum of weights until we reach 0
		-- the higher the weight the higher the chances of reaching 0 
		ticket = ticket - Weights[index]
		if ticket <= 0 then
			--select the winner
			selected = Participants[index]
			break
		end
	end
	return selected;
end

print(getNextMurderer())
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