An interesting question . . .
The answer is "Yes".If the occurrence of makes more likely,
does the occurrence of make more likely?
We need Bayes' Theorem: .
We are told that, if happens, is more likely to happen.
. . That is, the probability of , given , is greater than the probability of .
In symbols: .
This means: .
Hence, we have: .
Therefore, the probability of , given , is greater than the probability of
. . The occurence of makes more likely.