GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 06 Dec 2019, 03:06

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.

Close

Request Expert Reply

Confirm Cancel

A weighted coin has a probability p of showing heads. Is the value of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1310
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
A weighted coin has a probability p of showing heads. Is the value of  [#permalink]

Show Tags

New post Updated on: 06 May 2018, 00:42
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

52% (02:12) correct 48% (02:28) wrong based on 61 sessions

HideShow timer Statistics

A weighted coin has a probability p of showing heads. Is the value of p > 0.2?


(1) Successive flips are independent, and the probability of getting at least one head in two flips is greater than 0.5.

(2) The probability of getting tail on a flip of coin is less than 0.8.

_________________

Originally posted by gmatbusters on 05 May 2018, 22:55.
Last edited by Bunuel on 06 May 2018, 00:42, edited 1 time in total.
Renamed the topic and edited the question.
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2977
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: A weighted coin has a probability p of showing heads. Is the value of  [#permalink]

Show Tags

New post 06 May 2018, 00:15
gmatbusters wrote:
A weighted coin has a probability p of showing heads. Is the value of p > 0.2?
1) Successive flips are independent, and the probability of getting at least one head in
two flips is greater than 0.5.
2) The probability of getting tail on a flip of coin is less than 0.8.


Question : is p > 0.2?

Statement 1: Probability of two tails < 0.5

i.e. (1-p)*(1-p) < 0.5

i.e. (1-p)^2 < 0.5

i.e. (1-p) < 0.707

i.e. p > 0.293

SUFFICIENT

Statement 2: (1-p) < 0.8

i.e. p > 0.2

SUFFICIENT

Answer: option D
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13711
Re: A weighted coin has a probability p of showing heads. Is the value of  [#permalink]

Show Tags

New post 23 Nov 2019, 21:59
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.
_________________
GMAT Club Bot
Re: A weighted coin has a probability p of showing heads. Is the value of   [#permalink] 23 Nov 2019, 21:59
Display posts from previous: Sort by

A weighted coin has a probability p of showing heads. Is the value of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne