If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this

[BTGModeratorVI]

If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win?

(A) 0
(B) 1/200
(C) 1/2
(D) 199/200
(E) 1

Answer: D
Source: GMAT prep

[Brent@GMATPrepNow]

If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win?

(A) 0
(B) 1/200
(C) 1/2
(D) 199/200
(E) 1

Answer: D
Source: GMAT prep

Let's use the complement: P(Event A happening) = 1 - P(Event A not happening)

Given: P(person wins) = 15/3000
So, P(person does NOT win) = 1 - 15/3000
Simplify to get: P(person does NOT win) = 1 - 1/200
Rewrite with common denominator to get: P(person does NOT win) = 200/200 - 1/200 = 199/200

Answer: D
Cheers,
Brent