30 ladies and 60 gentlemen are present at a party. There are 23 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be a couple?
Choose the correct choice from the following options:
A) 1 / 200 B) 1 / 100 C) 1 / 50 D) 1 / 40 E) 23 / 1800

Rationale: in how many ways we can select a woman and a man from 30 women and 60 men ? in 30 * 60 = 1800 ways . we have a total of 23 couples so , the probability of selecting a couple is 23 / 1800 = 23 / 1800 . ans - e
Answer: E