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# A fair-sided coin is tossed three times. What is the probability that

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Math Expert
Joined: 02 Sep 2009
Posts: 47088
A fair-sided coin is tossed three times. What is the probability that [#permalink]

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16 Aug 2017, 00:04
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Difficulty:

65% (hard)

Question Stats:

47% (01:04) correct 53% (00:53) wrong based on 97 sessions

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A fair-sided coin is tossed three times. What is the probability that I do not get heads on at least two consecutive tosses?

A. 1/4
B. 3/8
C. 5/8
D. 3/4
E. 7/8

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Intern
Joined: 30 May 2017
Posts: 9
A fair-sided coin is tossed three times. What is the probability that [#permalink]

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16 Aug 2017, 05:27
Is this a correct approach?
Probability of do not get at least 2 consecutive heads P(A) + probability of get at least 2 consecutive heads P(B) = 1

P(A) = 1 - P(B)

How many times do I get at least 2 consecutive heads ?

HHT (1/8) or THH (1/8) or HHH (1/8)

So P(B) = 3/8

P(A) = 1 - 3/8 = 5/8
Senior Manager
Joined: 14 Dec 2017
Posts: 386
Re: A fair-sided coin is tossed three times. What is the probability that [#permalink]

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15 Jun 2018, 01:12
Bunuel wrote:
A fair-sided coin is tossed three times. What is the probability that I do not get heads on at least two consecutive tosses?

A. 1/4
B. 3/8
C. 5/8
D. 3/4
E. 7/8

Total # of outcomes when a fair sided coin is tossed $$= 2^3 = 8$$

Favorable outcomes = To not get a head on at least two consecutive tosses = { TTT, TTH, THT, HTT, HTH} = 5

Required Probability = 5/8

Thanks,
GyM
Re: A fair-sided coin is tossed three times. What is the probability that   [#permalink] 15 Jun 2018, 01:12
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