logic question Forum

[petrovovitch@]

If members group C are more likely to be members of the group B than A does that imply that members of group B are more likely to be C than A?
Also supposing that members of group C can only be from B or A

example being:

professors are more likely to be male than female therefore males are more likely to be professors than females?

[whymeohgodno]

If members group C are more likely to be members of the group B than A does that imply that members of group B are more likely to be C than A?
Also supposing that members of group C can only be from B or A

example being:

professors are more likely to be male than female therefore males are more likely to be professors than females?

No.

Imagine this hypothetical.

There are exactly 10 professors in the world. 6 are male 4 are female. There are only 4 females in the world and 10000 males in the world.

In this hypothetical professors are more likely to be male than female but males aren't more likely to be professors than females.

[petrovovitch@]

yea that's an obvious counterexample i should have thought of.

fine. what about if there are equal numbers of A and B in the "world" ?