A certain company holds an annual Labor day lottery by picking one tic

Hi solitaryreaper,

This question is more about your organizational skills than anything else (the Arithmetic involved is really simple).

We're told that there are 50 lottery tickets. We're asked for the difference in the probability of a married man winning the lottery and a single woman winning the lottery. So we either need to know the exact number of each or something about the ratio of the two (and how it relates to the 50 total people).

Fact 1: There are 30 women and half of the workers are married.

We can do some simple arithmetic based on this information:

Total = 50
Women = 30
Men = 20

Total = 50
Married = 25
Single = 25

Unfortunately, this does not tell us how many married men and single women there are.
Fact 1 is INSUFFICIENT

Fact 2: There are 10 single men in the company

This does not tell us how many single women there are.
Fact 2 is INSUFFICIENT

Combined, we can make a big "table" of the data. Let's start with Married vs. Single:

Married = 25
Single = 25

Since we know that there are 10 single men, we can start to subdivide the categories:

Married = 25
Single = 25
-->Single Men = 10
-->Single Women = 15

We can use this information to subdivide the other categories:

Women = 30
Men = 20
-->Single Men = 10
-->Married Men = 10

Now we know the odds of a married man winning (10/50) and the odds of a single woman winning (15/50), so we can answer the question.
Combined, SUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,
Rich