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# Suppose you flip a fair coin six times. What is the probabi

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Magoosh GMAT Instructor
Joined: 28 Dec 2011
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Suppose you flip a fair coin six times. What is the probabi [#permalink]

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02 Jan 2013, 14:12
2
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Difficulty:

15% (low)

Question Stats:

87% (01:43) correct 13% (01:36) wrong based on 76 sessions

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Suppose you flip a fair coin six times. What is the probability that, in six flips, you get at least one head?

(A) 5/8
(B) 13/16
(C) 15/16
(D) 31/32
(E) 63/64

For a complete discussion of "at least" questions, as well as full explanation of this problem, see this post:
http://magoosh.com/gmat/2012/gmat-math- ... -question/

Mike
[Reveal] Spoiler: OA

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Mike McGarry
Magoosh Test Prep

Last edited by Bunuel on 03 Jan 2013, 02:55, edited 1 time in total.
Renamed the topic.
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Joined: 18 Oct 2011
Posts: 90
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
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Re: Suppose you flip a fair coin six times. What is the probabi [#permalink]

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03 Jan 2013, 13:44
Best way of solving an "at least 1" type of question is to compute "1 - probability of flipping 0 heads"

probability of flipping either a head or a tail = 1/2

probability of flipping 6 tails in a row (1/2)^6

probability of flipping at least 1 head = 1 - (1/2)^6 = 63/64 (answer E)
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Re: Suppose you flip a fair coin six times. What is the probabi [#permalink]

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20 Dec 2015, 04:24
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Re: Suppose you flip a fair coin six times. What is the probabi   [#permalink] 20 Dec 2015, 04:24
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