A woman has 5 tickets for a contest. There are 1,000 tickets total. Two tickets out of those 1,000 tickets will deem people as winners and they will receive prizes. What is the probability that the woman with the 5 tickets will win a prize?
Could you find the complement of the event and subtract the probability of the complement from 1?
The Attempt at a Solution
Complement = P(Not getting a winning ticket)
998 non-winning tickets. Probabilities:
1/998 * 1/997 * 1/996 * 1/995 * 1/994 = P(Not getting a winning ticket)
Subtract the above from one.
However, the fact she has five tickets complicates matters; what do I do?