Was the universe created by purpose or by chance? Yes sorry I’ve tried to explain the math better below (I’ve used different % numbers so the derivation is hopefully clearer).
Proposition 1 - There was a creator god
Assume 50% probability true to start with
Big Bang is evidence for creator at 60% probability so combining probabilities:
50% + 50% x 60% = 80%
Fine tuning is evidence for the creator 75% probability so:
80% + 20% x 75% = 95%
Prime mover is evidence for the creator 25% probability so:
95% + 5% x 25% = 96.25% chance of a creator god is
To double check, I’ve done the inverse proposition below:
Proposition 2 - there was not a creator god
Assume 50% probability true to start with
Big Bang is evidence against no creator 40% probability so combining probabilities:
50% x 40% = 20%
Fine tuning is evidence against no creator 25% probability so:
20% x 25% = 5%
Prime mover is evidence against no creator 75% probability so:
5% x 75% = 3.75% chance of no creator god