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If you flip a fair coin four times, what is the probability of flipping at least three heads in a row? Express your answer as a common fraction.

 Apr 14, 2022

Best Answer 

 #1
avatar+1713 
+1

There are \(2^4\) ways of flipping the coins. 

 

There are 3 ways to get at least 3 heads in a row: THHH or HHHT or HHHH

 

Thus, the probability is \(\color{brown}\boxed{3 \over 16}\)

 

ig my name is cphill now ¯\_(ツ)_/¯

 Apr 14, 2022
edited by BuilderBoi  Apr 14, 2022
edited by BuilderBoi  Apr 14, 2022
 #1
avatar+1713 
+1
Best Answer

There are \(2^4\) ways of flipping the coins. 

 

There are 3 ways to get at least 3 heads in a row: THHH or HHHT or HHHH

 

Thus, the probability is \(\color{brown}\boxed{3 \over 16}\)

 

ig my name is cphill now ¯\_(ツ)_/¯

BuilderBoi Apr 14, 2022
edited by BuilderBoi  Apr 14, 2022
edited by BuilderBoi  Apr 14, 2022
 #2
avatar+556 
+2

Yoooooo, we gotta new CPhill here?!?!?!?!

 

Also.. Nice BuilderBoi, you always seem to be good probabbility questions

Vinculum  Apr 14, 2022
edited by Vinculum  Apr 14, 2022
 #3
avatar+1713 
+1

Thanks!

BuilderBoi  Apr 14, 2022

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