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D
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Difficulty:
55%
(hard)
Question Stats:
61% (01:55) correct
39%
(02:12)
wrong
based on 71
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At a community arts festival, each of the 72 volunteers was assigned to exactly one of two stations, North or South, and to exactly one of two shifts, morning or afternoon. If a volunteer is selected at random, is the probability that the selected volunteer worked at the South station during the morning shift greater than 1/3?
(1) A total of 54 volunteers were assigned to the North station.
(2) A total of 20 volunteers were assigned to the morning shift.
(1) A total of 54 volunteers were assigned to the North station.
(2) A total of 20 volunteers were assigned to the morning shift.
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26 Apr 2026, 02:30
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GMAT Club Official Solution:
At a community arts festival, each of the 72 volunteers was assigned to exactly one of two stations, North or South, and to exactly one of two shifts, morning or afternoon. If a volunteer is selected at random, is the probability that the selected volunteer worked at the South station during the morning shift greater than 1/3?
The question asks whether the probability of selecting a volunteer from the South-morning group is greater than 1/3.
Since the total number of volunteers is 72, this is equivalent to asking whether the number of volunteers in the South-morning group is greater than 1/3 * 72 = 24.
(1) A total of 54 volunteers were assigned to the North station.
So the number of volunteers assigned to the South station is 72 - 54 = 18. Therefore, the number of volunteers assigned to the South-morning group, which is a subgroup of the South group, cannot be greater than 24. Sufficient.
(2) A total of 20 volunteers were assigned to the morning shift.
Since the South-morning group is a subgroup of the morning-shift group, it cannot contain more than 20 volunteers, so it cannot contain more than 24. Sufficient.
Answer: D.
At a community arts festival, each of the 72 volunteers was assigned to exactly one of two stations, North or South, and to exactly one of two shifts, morning or afternoon. If a volunteer is selected at random, is the probability that the selected volunteer worked at the South station during the morning shift greater than 1/3?
The question asks whether the probability of selecting a volunteer from the South-morning group is greater than 1/3.
Since the total number of volunteers is 72, this is equivalent to asking whether the number of volunteers in the South-morning group is greater than 1/3 * 72 = 24.
(1) A total of 54 volunteers were assigned to the North station.
So the number of volunteers assigned to the South station is 72 - 54 = 18. Therefore, the number of volunteers assigned to the South-morning group, which is a subgroup of the South group, cannot be greater than 24. Sufficient.
(2) A total of 20 volunteers were assigned to the morning shift.
Since the South-morning group is a subgroup of the morning-shift group, it cannot contain more than 20 volunteers, so it cannot contain more than 24. Sufficient.
Answer: D.
General Discussion
BongBideshini
Joined: 25 May 2021
Last visit: 17 May 2026
Posts: 227
Given Kudos: 85
Location: India
Concentration: Entrepreneurship, Marketing
Schools: HBS '27 Stanford '27 Wharton '27 Sloan '27
GPA: 3.8
WE:Engineering (Government)
Products:
19 Apr 2026, 23:15
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is the probability that the selected volunteer worked at the South station during the morning shift greater than 1/3 , i.e., is SM > 24?
(1) A total of 54 volunteers were assigned to the North station.
=> South=(72-54)=18 < 24
SM<24
Sufficient
(2) A total of 20 volunteers were assigned to the morning shift.
=>Morning=20 < 24
so, definitely SM<24
Sufficient
Ans (D)
(1) A total of 54 volunteers were assigned to the North station.
=> South=(72-54)=18 < 24
SM<24
Sufficient
(2) A total of 20 volunteers were assigned to the morning shift.
=>Morning=20 < 24
so, definitely SM<24
Sufficient
Ans (D)
Bunuel
