Last visit was: 02 Sep 2026, 15:38 It is currently 02 Sep 2026, 15:38
Home
Messages
Tests
Schools
Events
Close
GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2   3   4   5   6   
805+ (Hard)|   Probability|         
User avatar
yashsharma1
User avatar
Joined: 18 Apr 2025
Last visit: 02 Sep 2026
Posts: 75
Own Kudos:
49
 [1]
Given Kudos: 26
Location: India
Schools: IESE '26 (WL)
GMAT Focus 1: 645 Q81 V82 DI83
Products:
GMAT Club Tests Forum Quiz
Schools: IESE '26 (WL)
GMAT Focus 1: 645 Q81 V82 DI83
Posts: 75
Kudos: 49
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 10:11
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let number of participants in Planning, Reception and Material groups be P, R and M respectively. The question is asking if R / (P+M+R) > 5/8 or 62.5%

St1: Not M / Total (P+M+R) < 45%. This means P+R/P+M+R < 45% (because each person is assigned to one group, whoever is not in M is either in P or R). If combined probability of P and R is < 45%, R alone will definitely be <45% and hence <62.5%. SUFFICIENT

St2: Not R / Total (P+M+R) > 40%. This means R/P+M+R < 60%, and hence R/P+M+R < 62.5% as well. SUFFICIENT

Final answer is D
User avatar
heyaa
User avatar
Joined: 19 Dec 2024
Last visit: 02 Sep 2026
Posts: 70
Own Kudos:
60
 [1]
Given Kudos: 46
Location: India
Posts: 70
Kudos: 60
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 10:13
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
p, r, m
? = P(r)>5/8
S1: P(not m) < 45/100 < 5/8; not m = either r or p
as either r or p is less than 5/8, r will also be definitely less than 5/8. S1 is fine alone.
S2: P(not r)> 40/100; so P(r) < 60/100 < 5/8, so S2 alone is fine as well.
Therefore, Answer = D
User avatar
Sayak11
User avatar
Joined: 06 Jul 2025
Last visit: 27 Jul 2026
Posts: 5
Own Kudos:
4
Given Kudos: 1
Posts: 5
Kudos: 4
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 10:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I believe each statement alone is sufficient. As its asking if r>5/8 or r>0.625. Since statement 1 says p+r<0.45, thus r will definitely be less than 0.625. In statement 2 it says, r<0.6, thus not more than 0.625.
Bunuel
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?

(1) The probability that the selected participant is not in the materials group is less than 45%.

(2) The probability that the selected participant is not in the reception group is greater than 40%.


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
Sumita8
User avatar
Joined: 26 Nov 2024
Last visit: 02 Sep 2026
Posts: 4
Own Kudos:
3
Given Kudos: 38
Products:
GMAT Club Tests
Posts: 4
Kudos: 3
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 10:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The answer imo is B

The question asks whether the probability of the selected being from the reception group is 5/8 or 62%

Option A: P(material)is <= 45%. This can be seen as P(Planning + Reception) is >= 55%. This info isn’t enough to determine whether P(reception) singularly is >= 62%. Hence not sufficient.

Option B: P( not reception) is >= 40% which means p(reception) would be <= 60% which gives us a certain no for whether the probability is greater than 62% or 5/8. Hence sufficient.
User avatar
Amity007
User avatar
Joined: 12 Sep 2025
Last visit: 02 Sep 2026
Posts: 266
Own Kudos:
490
 [1]
Given Kudos: 1,849
Location: India
Schools: ISB
Products:
GMAT Club Tests
Schools: ISB
Posts: 266
Kudos: 490
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 10:56
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Lets breakdown three groups P, R, and M
Selecting one random participant from reception that is p(R)= R/All.
Question: R/A > 5/8 ? let's convert it into percent since we are dealing with percentage here.
So R/A>62.5% ?

1) here p(!M) < 45%, so basically non material group i.e. P or R so p(P or R)=> (P+R)/A <45 %
if P/A+R/A is less than 45 then R/A alone can never be >62.5%. So sufficient

2) Here p(!R) >40%, So p(R) <= 60%. Simply taking negation. So this also sufficient.

So answer would be D.
Bunuel
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?

(1) The probability that the selected participant is not in the materials group is less than 45%.

(2) The probability that the selected participant is not in the reception group is greater than 40%.


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
saibharat5mba
User avatar
Joined: 13 Nov 2024
Last visit: 01 Sep 2026
Posts: 3
Own Kudos:
3
 [1]
Given Kudos: 2
Products:
GMAT Club Tests
Posts: 3
Kudos: 3
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 11:00
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
3 mutually exclusive groups. So sum of the probabilities of a participant belonging to each of the groups is 100%.

Assume probability of reception = p(r)

Then, p(r) + p(p) + p(m) = 1


Question: is p(r) > 5/8 (=62.5%) ?

Statement :1
not in materials (100-p(m)) < 45% which means, p(p) + p(r) < 45% which means p(r) <45% always. Then p(r) can never be greater than 62.5%. (Sufficient)

Statement : 2
not in reception (100-p(r))>40% which means p(r) < 60% (Sufficient)

Option D

Bunuel
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?

(1) The probability that the selected participant is not in the materials group is less than 45%.

(2) The probability that the selected participant is not in the reception group is greater than 40%.


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
Vivek1707
User avatar
Joined: 22 May 2020
Last visit: 02 Sep 2026
Posts: 349
Own Kudos:
180
 [1]
Given Kudos: 150
Products:
GMAT Club Tests Forum Quiz
Posts: 349
Kudos: 180
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 11:05
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Lets say the total number of people in the three groups is 8

Now we need the know whether prob of picking a person from the reception group is > 5/8 i.e Minimum 6/8

Note that 5/8 is 62.5%

Statement 1 ---> Prob of NOT material is < 45%

That means if the three groups are P R M, and total is 8 then if P + R < 45%
Now if R i 6 it would become 62.5% which violates the statement hence R has to be LESS than 6. We get a confirmed no Hence sufficient

Statement 2 ---> Prob that the participant is NOT in the reception group is > 40% i.e P + M have to be more than 40%
Now again if we have R = 6 then this becomes 62.5% which is makes P + M 37.5% so R has to be less than 6 Hence sufficient

Answer D


Bunuel
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?

(1) The probability that the selected participant is not in the materials group is less than 45%.

(2) The probability that the selected participant is not in the reception group is greater than 40%.


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
Stiwari4001
User avatar
Joined: 25 Jul 2025
Last visit: 02 Sep 2026
Posts: 28
Own Kudos:
23
 [1]
Given Kudos: 17
Posts: 28
Kudos: 23
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 11:15
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let,
Probability of the selected participant being from Planning = P
Probability of the selected participant being from Reception = R
Probability of the selected participant being from Material = M

Probability that the participant will be from P or R or M = 100%

Therefore, P+R+M=100%

The question is asking us if the probability of the participant being from Reception is GREATER than 5/8
Since we are talking in percentages, let's conver 5/8 into percentage
=(5/8)*100
=5*(1/8)*100 (You can directly divide 5 by 8, I do this because I have the value of 1/8 memorized)
=5*0.125*100
=0.625*100
=62.5%

So the question is asking us if we can answer the following with a definite YES or NO:
Is R > 62.5%?

Let's look at the statements:
Statement 1:
If the participant is NOT in the materials group, they are in Planning or Reception.
And this probability is 45%.

This implies, (P + R) < 45%
Since P can NOT be negative, R has to be less than 45%.
We can answer our question (Is R>62.5%) with a definite NO.
Statement 1 is sufficient.

Statement 2-
If the participant is NOT in Reception group, they are in either Planning or Materials.

This implies, P + M > 40%
Since P+R+M=100%, and P + M is over 40%
R has to be lesser than 60%.

Therefore, we can answer the question (Is R>62.5%?) with a definite NO.
Statement 2 is sufficient.

Ans: D
Both statements are alone sufficient.
User avatar
twinkle2311
User avatar
Joined: 05 Nov 2021
Last visit: 31 Aug 2026
Posts: 211
Own Kudos:
246
 [1]
Given Kudos: 54
Location: India
Concentration: Finance, Real Estate
Schools: ISB '27 Wharton '27
GPA: 9.041
Schools: ISB '27 Wharton '27
Posts: 211
Kudos: 246
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 11:32
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let the probabilities of being in Planning, Reception and Materials be P, R and M.

We need to determine if R > 5/8

1) Not in Materials = P+R < 45%
So, R<45%, which is definitely less than 5/8 (62.5%)

Sufficient

2) Not in reception = P+M > 40%
So, R<60%, which is also definitely less than 5/8 (62.5%)

Sufficient

Ans : D
User avatar
Shlok02
User avatar
Joined: 08 Jan 2024
Last visit: 02 Sep 2026
Posts: 65
Own Kudos:
41
 [1]
Given Kudos: 6
Products:
GMAT Club Tests Forum Quiz
Posts: 65
Kudos: 41
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 11:46
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?

(1) The probability that the selected participant is not in the materials group is less than 45%.

(2) The probability that the selected participant is not in the reception group is greater than 40%.


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
Reception = R, Planning = P and Materials = M
We can say that there is a 100% prob of a person being in any of the groups
Hence P(R) + P(P) + P(M) = 1
We have to see if P(R) > 5/8 or > 62.5%

Statement 1

P(not M) < 45%
i.e P(R) + P(P) < 45%
The combine probability itsel is < 62.5%
Hence P(R) < 62.5 %
Statement is SUFFICIENT

Statement 2
P (not R ) > 40 %
i.e. P (R) < 60%
Sufficient to say that P (R) < 62.5%
Hence Statement is SUFFICIENT

As both statements are sufficient individually, Answer is (D)
User avatar
Parry104
User avatar
Joined: 30 Oct 2025
Last visit: 02 Sep 2026
Posts: 28
Own Kudos:
26
Given Kudos: 3
Location: India
Concentration: Technology, Operations
Schools: ISB '27 IIM NUS '27
GRE 1: Q170 V158
GPA: 3.14
Products:
GMAT Club Tests Forum Quiz
Schools: ISB '27 IIM NUS '27
GRE 1: Q170 V158
Posts: 28
Kudos: 26
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 11:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
P = Probability of being in planning
R = Probability of being in Reception
M = Probability of being in Materials

P+R+M = 1 Is r>5/8 ?

Statement 1 - Not in material Group <0.45
Not in material gp == > in planning or reception = P + R
P+R <0.45. We will not get R value unless we get P value.

Statement A is not sufficient

Statement 2 - Not in Reception > 0.40
Not in Reception ==> In planning or Material = P + M
P+M > 0.4 ==> R < 0.6

Statement B is sufficient
User avatar
gadbadhai
User avatar
Joined: 25 Aug 2025
Last visit: 02 Sep 2026
Posts: 30
Own Kudos:
15
 [1]
Given Kudos: 5
Location: India
Schools: ESSEC ESADE HEC IE NUS Bocconi
GMAT Focus 1: 645 Q84 V79 DI74
GPA: 7
Schools: ESSEC ESADE HEC IE NUS Bocconi
GMAT Focus 1: 645 Q84 V79 DI74
Posts: 30
Kudos: 15
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 12:08
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?

(1) The probability that the selected participant is not in the materials group is less than 45%.

(2) The probability that the selected participant is not in the reception group is greater than 40%.


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
Is R>5/8? In simple words, is R>62.5%?
we know P + R + M = 1
statement (1) given 1-M = ~M <45%
P+R<45% => this is sufficient to answer that R will be less than 62.5%
statement (2) given 1-R = ~R > 40%
which means R < 60% => again sufficient

Therefore, option D, "Each statement ALONE is sufficient," is correct.
User avatar
Nsanghavi
User avatar
Joined: 08 Jul 2025
Last visit: 29 Aug 2026
Posts: 59
Own Kudos:
46
 [1]
Given Kudos: 20
Products:
GMAT Club Tests Forum Quiz
Posts: 59
Kudos: 46
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 12:16
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
It is given that each participant is assigned to exactly one group - Planning, Reception or Materials. No one will be left out.
Question - Probability ( Reception group) > 5/8 or 62.5%?

Statement 1 - Probability ( NOT Materials) < 45% - i.e. Probability ( Planning) +Probability (Reception ) < 45% { P(Material) + P (Planning) + P(Reception) = 100%}
In this case P (Reception) will always be less than 45% and hence the given question of P(Reception) > 62.5% has No as answer and hence this statement is sufficient

Statement 2 - P (NOT Reception) > 40% - i.e. P (Planning) + P (Materials) > 40 % - So P (Reception) < 60% i.e. the answer to the question is No and hence this statement is also sufficient
Correct Answer is Option D
User avatar
Junaidhh99
User avatar
Joined: 14 Apr 2026
Last visit: 02 Sep 2026
Posts: 6
Own Kudos:
4
 [1]
Given Kudos: 12
Posts: 6
Kudos: 4
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 12:40
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given,

Three groups,
P, M or R

Question asked - is P(r) > 5/8
1/4 = 0.25
1/8 = 0.125
5/8 = 0.625 or 62.5%

Since the participants are assigned to only one group, P(m) + P(p) + P(r) = 1
(to verify, assume there are 8 people in the room, and 5 are assigned to R, 1 to P and 1 to R. It always adds up to 1.)

Statement A - P(not m) < 45
implies P(m) >= 55%
since all of them have to add up to 100%, this would make P(r) =62.5 impossible
Hence, it is enough information to conclude the answer for the question.
[Sufficient]

Statement B - P(not r) > 40%
implies P(r) < 60%
Cannot be 62.5%
Thus answers the question.
[Sufficient]

Therefore, both statements are sufficient on their own
User avatar
jefferyillman
User avatar
Joined: 01 Dec 2024
Last visit: 01 Sep 2026
Posts: 112
Own Kudos:
81
 [1]
Given Kudos: 3
Posts: 112
Kudos: 81
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 12:47
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Want to know if reception R is greater than 5/8 or 0.625

Statement 1
Probability of not in materials is less than 45%

This mean they are in planning or reception
P +R < 0.45

Since P + R is less than 0.45, than R alone must be less than 0.45. therefor can not be greater than 0.625. Sufficient

Statement 2
Probability that selected is not in reception is greater than 40%

P+M > 0.40
so R <0.60

since 0.60 is less than 0.625, it can not be greater than 5/8 (0.625). therefore sufficient

Both statements are sufficient therefor D

Answer D
User avatar
GlassChamp
User avatar
Joined: 05 Jun 2026
Last visit: 23 Aug 2026
Posts: 20
Own Kudos:
15
 [1]
Given Kudos: 1
Location: India
Schools: ISB '27 Kellogg
GPA: 7.7
Schools: ISB '27 Kellogg
Posts: 20
Kudos: 15
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 12:57
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given, exactly three groups
Hence,
P(P) + P(R) + P(M) = 1
To find: P(R) > 5/8 ?
or, P(R) > 0.625 ?

Statement 1 : P(not M) < 45%
or, P(P) + P(R) < 0.45
Since Probability can never be negative,
P(R) < 0.45
Hence, Sufficient.

Statement 2: P(not R) > 40%
or, 1- P(R) > 0.4
or, P(R)<0.6
Hence, Sufficient.
Thus, final ans: D Both Statements Alone are sufficient
User avatar
Rishm
User avatar
Joined: 05 May 2024
Last visit: 01 Sep 2026
Posts: 369
Own Kudos:
78
 [1]
Given Kudos: 82
Location: India
Schools: Johnson '27 LBS '27 IESE '27
GPA: 10
WE:Consulting (Consulting)
Products:
GMAT Club Tests Forum Quiz
Schools: Johnson '27 LBS '27 IESE '27
Posts: 369
Kudos: 78
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 13:00
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
It says reception is 5/8 which is more than 62.5%, now moving on to first position -----P that selected participant is not in the materials group is less than 45% hence we know that they will be in either planning or reception, we know that less than 45% are not in materials group, hence A is sufficient on its own, now moving ahead P that selected participant is not in the reception group is more than 40%, we know we need 62.5% to cross that mark which is not possible due to 40% not in reception group. Hence B itself is sufficient. Hence we get D- they are themselves sufficient in proving that it is indeed less than 5/8
User avatar
MakB
User avatar
Joined: 05 May 2025
Last visit: 02 Sep 2026
Posts: 73
Own Kudos:
29
Given Kudos: 146
Posts: 73
Kudos: 29
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 13:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Statement 1 - Probability of not Materials is 65% ==> Means probability that it will be in Plannig/ reception is 65%
Now it can or cannot be more than 5/8 --no definate answer--so not sufficient

Statement 2-
Probability of not in Reception is 40%--Means probability of in the reception group is 60%--> Gives definate answer that it is less than 5/8 ---hence Sufficient!
So B
User avatar
mehtyas
User avatar
Joined: 27 May 2025
Last visit: 02 Sep 2026
Posts: 74
Own Kudos:
61
 [1]
Given Kudos: 823
Location: India
Concentration: Finance, Strategy
Products:
GMAT Club Tests
Posts: 74
Kudos: 61
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 13:27
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let P, R, and M be the probabilities of being in Planning, Reception and Materials, respectively.
So, P + R + M = 1

We need to determine if R is > 5/8 (62.5%)

S1 -->
Not Materials < 45%
P+R <45 %

Since, R < P+R then R < 45% (amswer to the ques if R>62.5% is def no)

S1 - Sufficient

S2 -->
Not R > 40%
1-R>40%
R<60% (answer to the ques if R>62.5% is def no)

S2 - Sufficient

Final Answer --> Option D - Each Statement alone is sufficient.
User avatar
MANASH94
User avatar
Joined: 25 Jun 2025
Last visit: 02 Sep 2026
Posts: 165
Own Kudos:
121
 [1]
Given Kudos: 27
Location: India
Schools: IIM IIM ISB
GMAT Focus 1: 525 Q80 V76 DI72
GPA: 2.9
Products:
GMAT Club Tests
Schools: IIM IIM ISB
GMAT Focus 1: 525 Q80 V76 DI72
Posts: 165
Kudos: 121
 [1]
GMAT Club World Cup 2026 (Day 3): A community center is organizing a 08 Jul 2026, 14:19
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
P(P) + P(R) + P (M) = 1 ... Where P is planning, R is Reception and M is Material.

Statement 1 says:
P(P)+P(R) < 45%
P(P)>=0 cannot be negative and cannot be more than 45%
So P(R) < 45% which is less than 5/8 which is around 62%.

So we know for sure its not greater than 62% so its Sufficient.

Statement 2:
Not in Reception or P(P) + P(M) > 40%
So P(R) must be less than 60% which means we know that for sure its not greater than 62%.
Sufficient.

Its D IMO.

Bunuel
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?

(1) The probability that the selected participant is not in the materials group is less than 45%.

(2) The probability that the selected participant is not in the reception group is greater than 40%.


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
   1   2   3   4   5   6   
Moderators:
Bunuel
Math Expert
113061 posts
FrozenDragon
DI Forum Moderator
410 posts