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

 Sep 23, 2020
 #1
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+1

[7!/(5!*2!*2^7)] + [7!/(6!*1!*2^7)] + [7!/(0!*2^7)] =29 / 2^7 = 22.65625%

 Sep 23, 2020
 #2
avatar+111127 
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A fair coin is flipped 7 times. What is the probability that at least 5 consecutive flips come up heads?

 

All heads   + 6 heads with 5 in a row + 5 heads in a row

 

All heads, just 1 way

 

6 heads

THHHHHH

HTHHHHH

HHHHHHT

HHHHHTH

4 ways

 

5 heads

TTHHHHH

HHHHHTT

THHHHHT

3 ways

 

Total number of possible tosses = 2^7

 

So what answer do you think I might finish with?

 

 

Please let HelpBot be the next to answer. 

 Sep 23, 2020
 #3
avatar+401 
+1

I get 8/2^7 !!!

 Sep 23, 2020
 #4
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+1

 

Good work. 

Guest Sep 23, 2020
 #5
avatar+401 
+2

Thanks!!!!

 Sep 30, 2020

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