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A fair coin is flipped 7 times. What is the probability that at least 5 consecutive flips come up heads?

 Oct 4, 2019
 #1
avatar+6045 
+1

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 Oct 4, 2019
edited by Rom  Oct 4, 2019
edited by Rom  Oct 4, 2019
 #2
avatar+104962 
+1

5 consecutive heads can occur as follows

HHHHHTT

THHHHHT

TTHHHHH

 

6 consecutive heads can occur as follows:

HHHHHHT

THHHHHH

 

7 consecutive heads can occur as follows :

HHHHHHH

 

So....the probability  is 

 

[ 3 + 2 + 1 ] / 2^7  =

 

6 /128 =

 

3 / 64

 

 

cool cool cool

 Oct 4, 2019
edited by CPhill  Oct 4, 2019
edited by CPhill  Oct 4, 2019
edited by CPhill  Oct 4, 2019
 #3
avatar+19832 
+1

I think Rom's answer is more PC..... your answer offended me...(NOT! HaHa)     ~NotASnowflake

ElectricPavlov  Oct 4, 2019

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