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A certain prize game has three different types of prizes and one of th
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07 Oct 2021, 09:30
07 Oct 2021, 09:30
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Question Stats:
35% (01:25) correct
65% (01:21) wrong based on 20 sessions
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A certain prize game has three different types of prizes and one of them is given at random when a player wins. If a certain player plays and wins 3 times, what is the probability that the player receives one of each type of prize?
A. 0
B. 1/9
C. 2/9
D. 1/3
E. 1
A. 0
B. 1/9
C. 2/9
D. 1/3
E. 1
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Joined: 10 Apr 2015
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Re: A certain prize game has three different types of prizes and one of th
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07 Oct 2021, 10:46
07 Oct 2021, 10:46
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Carcass wrote:
A certain prize game has three different types of prizes and one of them is given at random when a player wins. If a certain player plays and wins 3 times, what is the probability that the player receives one of each type of prize?
A. 0
B. 1/9
C. 2/9
D. 1/3
E. 1
A. 0
B. 1/9
C. 2/9
D. 1/3
E. 1
P(player gets one of each prize) = P(1st prize is ANY prize AND 2nd prize is different from 1st prizes AND 3rd prize is different from prize 1 and 2)
= P(1st prize is ANY prize) x P(2nd prize is different from 1st prize) x P(3rd prize is different from prize 1 and 2)
= 3/3 x 2/3 x 1/3
= 2/9
Answer: C
Cheers,
Brent
Re: A certain prize game has three different types of prizes and one of th
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02 Mar 2023, 05:49
02 Mar 2023, 05:49
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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