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A moment is randomly selected in the week. What is the probability tha
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05 Apr 2022, 02:00
05 Apr 2022, 02:00
Expert Reply
00:00
Question Stats:
70% (01:15) correct
29% (01:26) wrong based on 24 sessions
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A moment is randomly selected in the week. What is the probability that this moment will occur during normal business hours (Monday through Friday between 8 a.m. and 5 p.m.)?
A. 1/3
B. 3/8
C. 5/7
D. 5/21
E. 15/56
A. 1/3
B. 3/8
C. 5/7
D. 5/21
E. 15/56
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
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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
A moment is randomly selected in the week. What is the probability tha
[#permalink]
05 Apr 2022, 06:57
05 Apr 2022, 06:57
1 day = 20000 moments
24 hours = 20000 moments
9 hours ( 8 am to 5 pm ) = 7500 moments
and for 5 days, we get 37500 moments ( eq. 1 )
therefore, total moments in a week = 20000 x 7 = 140000 ( eq. 2 )
And if we divide eq. 1 by eq. 2, we get 37500/140000 = 15/56
So, E is the answer
24 hours = 20000 moments
9 hours ( 8 am to 5 pm ) = 7500 moments
and for 5 days, we get 37500 moments ( eq. 1 )
therefore, total moments in a week = 20000 x 7 = 140000 ( eq. 2 )
And if we divide eq. 1 by eq. 2, we get 37500/140000 = 15/56
So, E is the answer
A moment is randomly selected in the week. What is the probability tha
[#permalink]
06 Apr 2022, 01:56
06 Apr 2022, 01:56
2
No need to calculate moments.
First, the probability of choosing business days is 5/7
Second, the probability of choosing business hours is 9/24 (8 to 17 or 8 a.m. to 5 p.m.)
The probability is business day AND business hour. So 5/7x9/24=45/168
Simplify to get 15/56
E.
First, the probability of choosing business days is 5/7
Second, the probability of choosing business hours is 9/24 (8 to 17 or 8 a.m. to 5 p.m.)
The probability is business day AND business hour. So 5/7x9/24=45/168
Simplify to get 15/56
E.
