GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
The probability of rain on any given day in a particular city is 50%.
[#permalink]
13 Aug 2021, 08:28
13 Aug 2021, 08:28
2
11
Bookmarks
00:00
Question Stats:
51% (01:57) correct
48% (01:50) wrong based on 58 sessions
Hide Show timer Statistics
The probability of rain on any given day in a particular city is 50%.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Probability that it will rain on at least three days in a row during a five-day period |
\(\frac{3}{16}\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Intern
Joined: 25 Oct 2020
Posts: 20
Given Kudos: 9
Location: India
Concentration: Strategy, Finance
Re: The probability of rain on any given day in a particular city is 50%.
[#permalink]
13 Aug 2021, 21:53
13 Aug 2021, 21:53
2
There are 8 cases in which it will rain for at least three days in a row.
Rain-Rain-Rain-Rain-Rain
Rain-Rain-Rain-rain-no rain
no rain-rain-rain-rain-rain
rain-rain-rain-no rain no rain
no rain-no rain-rain-rain-rain
rain-rain-rain-no rain-rain
rain-no rain-rain-rain-no rain
no rain- rain-rain-rain-no rain
Given that the probability to rain on any given day is 50% or 1/2
So the probability for each of the case will be (1/2) raised to the power 5 which is 1/16
and 8 cases so 8*(1/16)=8/16
which is greater than 3/16, So the answer is A
Rain-Rain-Rain-Rain-Rain
Rain-Rain-Rain-rain-no rain
no rain-rain-rain-rain-rain
rain-rain-rain-no rain no rain
no rain-no rain-rain-rain-rain
rain-rain-rain-no rain-rain
rain-no rain-rain-rain-no rain
no rain- rain-rain-rain-no rain
Given that the probability to rain on any given day is 50% or 1/2
So the probability for each of the case will be (1/2) raised to the power 5 which is 1/16
and 8 cases so 8*(1/16)=8/16
which is greater than 3/16, So the answer is A
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: The probability of rain on any given day in a particular city is 50%.
[#permalink]
14 Aug 2021, 06:01
14 Aug 2021, 06:01
2
nikhilinuganti wrote:
There are 8 cases in which it will rain for at least three days in a row.
Rain-Rain-Rain-Rain-Rain
Rain-Rain-Rain-rain-no rain
no rain-rain-rain-rain-rain
rain-rain-rain-no rain no rain
no rain-no rain-rain-rain-rain
rain-rain-rain-no rain-rain
rain-no rain-rain-rain-no rain
no rain- rain-rain-rain-no rain
Given that the probability to rain on any given day is 50% or 1/2
So the probability for each of the case will be (1/2) raised to the power 5 which is 1/16
and 8 cases so 8*(1/16)=8/16
which is greater than 3/16, So the answer is A
Rain-Rain-Rain-Rain-Rain
Rain-Rain-Rain-rain-no rain
no rain-rain-rain-rain-rain
rain-rain-rain-no rain no rain
no rain-no rain-rain-rain-rain
rain-rain-rain-no rain-rain
rain-no rain-rain-rain-no rain
no rain- rain-rain-rain-no rain
Given that the probability to rain on any given day is 50% or 1/2
So the probability for each of the case will be (1/2) raised to the power 5 which is 1/16
and 8 cases so 8*(1/16)=8/16
which is greater than 3/16, So the answer is A
Great work but the marked part would be \(\frac{1}{32}\)
So, the answer would be \(\frac{1}{4}\)
