The conclusion drawn would always depend upon the α priori likeliness which the experimenter had had in mind at the beginning.
To give a concrete feel to the theory, Alan liked to think in terms of a perfectly rational person obliged to make bets upon hypotheses.
He liked the idea of betting, and put the theory into the form of odds.
So in the example, the effect of the experiment would be to double the odds, one way or the other.
If further experiments were allowed, the odds would eventually increase to very large numbers although in principle, certainty would never be attained.
Alternatively, the process could be thought of as one of accumulating more and more evidence.
From this point of view, it would be more natural to think of adding something each time an experiment was made, rather than of multiplying the current odds.
This could be achieved by using logarithms.
The American philosopher C.S. Peirce had described a related idea in 1878, giving it the name 'weight of evidence'.