## logic question

Prepare for the LSAT or discuss it with others in this forum.
petrovovitch@

Posts: 53
Joined: Wed Jun 16, 2010 12:19 am

### logic question

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

Posts: 2508
Joined: Mon Jul 19, 2010 8:15 pm

### Re: logic question

petrovovitch@ wrote: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@

Posts: 53
Joined: Wed Jun 16, 2010 12:19 am

### Re: logic question

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" ?