That is a terrible example. That's implying that you can just sit on your ass all day and just watch TV and you have a 50% shot at success.
This isn't about inequality or privilege, this is about survivorship bias. The entire point is to completely remove all those issues in a way that makes it obvious to everybody that the only possible explanation in this made-up example is blind luck.
In the real world, it isn't all blind luck, but sometimes there are cases where the luck signal does in fact overwhelm everything else, lotteries being a great example.
Also typing/pronouncing/using 'LED lights' makes for a great tautology. ("Light emitting diode" lights)
English is weird, sometimes.
Alternatively, you can view it as a game that is repeated until one person is left. So the chance of success is 1/n where n is the number of people involved - independent of the random method chosen for selection (coin flip, rolling dices, or whatever).