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GRE Prep Club Team Member
Joined: 20 Feb 2017
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Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 co
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26 Mar 2021, 05:00
26 Mar 2021, 05:00
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Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 competitors in the triathlon, and medals are awarded for first, second, and third place, what is the probability that at least two of the triplets will win a medal?
A. 3/14
B. 19/84
C. 11/42
D. 15/28
E. 3/4
A. 3/14
B. 19/84
C. 11/42
D. 15/28
E. 3/4
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Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 co
[#permalink]
26 Mar 2021, 07:51
26 Mar 2021, 07:51
1
GeminiHeat wrote:
Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 competitors in the triathlon, and medals are awarded for first, second, and third place, what is the probability that at least two of the triplets will win a medal?
A. 3/14
B. 19/84
C. 11/42
D. 15/28
E. 3/4
A. 3/14
B. 19/84
C. 11/42
D. 15/28
E. 3/4
Total ways to distribute the medals = \(^9C_3 = 84\)
At-least two win a medal = any two win + all three win
\(= (^3C_2)(^6C_1) + (^3C_3)\)
\(= (3)(6) + 1\)
\(= 19\)
Required Probability = \(\frac{19}{84}\)
Hence, option B
gmatclubot
Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 co [#permalink]
26 Mar 2021, 07:51
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