Hello, shiningstarpxx!

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.