It is currently 21 Aug 2017, 08:57

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Probability of getting 2 heads and 4 tails when flipping a coin 6 time

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Expert Post
Magoosh GMAT Instructor
User avatar
G
Joined: 28 Dec 2011
Posts: 4291

Kudos [?]: 7773 [0], given: 95

Probability of getting 2 heads and 4 tails when flipping a coin 6 time [#permalink]

Show Tags

New post 08 Mar 2017, 17:40
hernandezlarry1234 wrote:
Probability of getting 2 heads and 4 tails when flipping a coin 6 times

hernandezlarry1234,

I'm happy to help. :-)

I saw your post without an answer so far, so I thought I would help.

Think about it this way. In the six flips, how many ways can we place the two heads? We need a combination for this.
See:
GMAT Permutations and Combinations
GMAT Math: Calculating Combinations

Here, the number of ways is 6C2 = 15. There are 15 cases.

In each case, we have six flips, and each one is either H or T. Both have a probability of 1/2, so any one case would have a probability of
\(\frac{1}{2^6} = \frac{1}{64}\)

Since there are 15 cases with identical probabilities, the total probability is
\(\frac{15}{2^6} = \frac{15}{64}\)

This particular setup is known as the Binomial situation in Probability. Here's a free lesson about it:
Binomial Situation

Does all this make sense?
Mike :-)
_________________

Mike McGarry
Magoosh Test Prep

Image

Image

Kudos [?]: 7773 [0], given: 95

Magoosh Discount CodesOptimus Prep Discount CodesEMPOWERgmat Discount Codes
Probability of getting 2 heads and 4 tails when flipping a coin 6 time   [#permalink] 08 Mar 2017, 17:40
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic 6 Weeks full time Study Plan to 700+ Joekr13 1 29 Nov 2016, 18:38
Experts publish their posts in the topic GMAT Tuesdays: Probability and Counting KevinRocci 0 18 Aug 2015, 14:21
1 Experts publish their posts in the topic Problem with Combinators and Probability Gnpth 1 15 Aug 2014, 13:35
1 Experts publish their posts in the topic Timing ronr34 2 10 Jul 2014, 00:56
Experts publish their posts in the topic Probability! NGGMAT 3 21 May 2014, 12:01
Display posts from previous: Sort by

Probability of getting 2 heads and 4 tails when flipping a coin 6 time

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

Moderator: mikemcgarry



GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.