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Prizes will be randomly awarded to three different people in a room of
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31 May 2022, 02:00
31 May 2022, 02:00
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Question Stats:
44% (00:57) correct
55% (02:11) wrong based on 9 sessions
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Prizes will be randomly awarded to three different people in a room of 50 people. If you are one of these people, what is the probability that you will win one of the prizes?
(A) 2%
(B) 3%
(C) 4%
(D) 5%
(E) 6%
(A) 2%
(B) 3%
(C) 4%
(D) 5%
(E) 6%
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Posts: 6218
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Re: Prizes will be randomly awarded to three different people in a room of
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31 May 2022, 05:22
31 May 2022, 05:22
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Carcass wrote:
Prizes will be randomly awarded to three different people in a room of 50 people. If you are one of these people, what is the probability that you will win one of the prizes?
(A) 2%
(B) 3%
(C) 4%
(D) 5%
(E) 6%
(A) 2%
(B) 3%
(C) 4%
(D) 5%
(E) 6%
Strategy: We can solve this using counting techniques or by applying probability rules. I find that applying probability rules is typically faster. So let's go with that.
P(I win a prize) = 1 - P(I don't win a prize)
P(I don't win a prize)
P(I don't win a prize) = P(I don't win the 1st prize AND I don't win the 2nd prize AND I don't win the 3rd prize)
= P(I don't win the 1st prize) x P(I don't win the 2nd prize) x P(I don't win the 3rd prize)
= 49/50 x 48/49 x 47/48
= 47/50
= 94/100
= 0.94
So, P(I win a prize) = 1 - 0.94 = 0.06 = 6%
Answer: E
gmatclubot
Re: Prizes will be randomly awarded to three different people in a room of [#permalink]
31 May 2022, 05:22
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