Carcass wrote:
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
Let's use the
complement:
P(Event A happening) = 1 - P(Event A not happening)Given: P(person wins) \(= \frac{15}{3000}\)
So, P(person does NOT win) \(= 1 - \frac{15}{3000}\)
Simplify to get: P(person does NOT win) \(= 1 - \frac{1}{200}\)
Rewrite with common denominator to get: P(person does NOT win) \(= \frac{200}{200} - \frac{1}{200} = \frac{199}{200}\)
Answer: D
Cheers,
Brent