A fair coin is flipped 7 times. What is the probability that at least 5 consecutive flips come up heads?
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
I think Rom's answer is more PC..... your answer offended me...(NOT! HaHa) ~NotASnowflake