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

Guest Oct 4, 2019

#2**+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

CPhill Oct 4, 2019

#3**+1 **

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

ElectricPavlov
Oct 4, 2019