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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
For each player's turn in a certain board game, a card is [#permalink]
06 May 2012, 09:29
7
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
65% (hard)
Question Stats:
61% (03:27) correct
39% (02:51) wrong based on 119 sessions
For each player's turn in a certain board game, a card is drawn. 3/4 of the cards in the deck are marked with a circle, and the 1/4 remaining cards are marked with a square. If five players draw a card and then return it to the deck, what is the probability that at least four of the cards drawn are marked with a square?
A. (1/4)^3 B. 5(1/4)^3 C. 3/4(1/4)^4 D. 2/3(1/4)^4 E. (1/4)^5
Re: For each player's turn in a certain board game, a card is [#permalink]
06 May 2012, 09:41
1
This post received KUDOS
Expert's post
3
This post was BOOKMARKED
Galiya wrote:
For each player's turn in a certain board game, a card is drawn. 3/4 of the cards in the deck are marked with a circle, and the 1/4 remaining cards are marked with a square. If five players draw a card and then return it to the deck, what is the probability that at least four of the cards drawn are marked with a square?
A. (1/4)^3 B. 5(1/4)^3 C. 3/4(1/4)^4 D. 2/3(1/4)^4 E. (1/4)^5
At least four of the cards drawn are marked with a square means 4 or all 5 cards are marked with a square.
\(P=P(SSSSC)+P(SSSSS)=\frac{5!}{4!}*(\frac{1}{4})^4*\frac{3}{4}+(\frac{1}{4})^5=\frac{1}{4^3}\), we are multiplying first case by \(\frac{5!}{4!}\), since SSSSC can occur in several ways: SSSSC, SSSCS, SSCSS, ... Notice that the number of occurrences of SSSSC basically is the number of arrangements of 5 letters SSSSC out of which 4 S's are identical, so it's \(\frac{5!}{4!}\).
Re: For each player's turn in a certain board game, a card is [#permalink]
02 Dec 2013, 04:43
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
Re: For each player's turn in a certain board game, a card is [#permalink]
03 May 2015, 02:12
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
For each player's turn in a certain board game, a card is [#permalink]
02 Sep 2015, 14:01
Bunuel wrote:
Galiya wrote:
For each player's turn in a certain board game, a card is drawn. 3/4 of the cards in the deck are marked with a circle, and the 1/4 remaining cards are marked with a square. If five players draw a card and then return it to the deck, what is the probability that at least four of the cards drawn are marked with a square?
A. (1/4)^3 B. 5(1/4)^3 C. 3/4(1/4)^4 D. 2/3(1/4)^4 E. (1/4)^5
At least four of the cards drawn are marked with a square means 4 or all 5 cards are marked with a square.
\(P=P(SSSSC)+P(SSSSS)=\frac{5!}{4!}*(\frac{1}{4})^4*\frac{3}{4}+(\frac{1}{4})^5=\frac{1}{4^3}\), we are multiplying first case by \(\frac{5!}{4!}\), since SSSSC can occur in several ways: SSSSC, SSSCS, SSCSS, ... Notice that the number of occurrences of SSSSC basically is the number of arrangements of 5 letters SSSSC out of which 4 S's are identical, so it's \(\frac{5!}{4!}\).
Answer: A.
Hope it's clear.
Hi Bunuel,
Can we do this by Binomial Distribution as well ?
Thanks, Gaurav
gmatclubot
For each player's turn in a certain board game, a card is
[#permalink]
02 Sep 2015, 14:01
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Perhaps known best for its men’s basketball team – winners of five national championships, including last year’s – Duke University is also home to an elite full-time MBA...
Hilary Term has only started and we can feel the heat already. The two weeks have been packed with activities and submissions, giving a peek into what will follow...