If you don't understand the maths then you are no position of making any assumptions.
Perhaps this picture will make thinks clearer using the ¹²⁴Xe example.
Radioactive decay is a quantum mechanical process involving probabilities.
You will never get the same half life for all observations but a distribution of results.
The distribution of radioactive decay times follows a Poisson distribution as shown.
The mean half life of 160 trillion years has the highest probability and sits on top of the curve.
The odds of detecting ¹²⁴Xe in our universe is extremely small as shown at the extreme left of the graph, but was discovered in a xenon tank dark matter detector due to the enormous number of Xe atoms found in a ton of liquid xenon.
The point is this, a 4.5 billion year old earth explains why elements such plutonium and neptunium exist in trace quantities as their mean half lives are considerably shorter than the age of the earth and therefore the probability of finding such elements is quite small.
A 6000 year old earth would result in these elements being abundant.
The other point I should make you are employing a characteristic logical fallacy used by YECs that if dating methods are wrong or we don't know what has happened in the past does not lead to the conclusion the earth is 6000 years old.
This is a false dichotomy.