
Due November 15
This problem is best solved by doing experiments, especially with a
computer, but a very clever student might be able to compute the
answer. We consider this to be an hard problem, worth 20
points. Send answers and questions to
mathstat@uoguelph.ca 

Suppose we flip a coin 20 times and then find the largest number of
either heads or tails in a row. Five examples follow with the longest
run of heads or tails in parenthesis. These examples were generated
by flipping a loonie.
Coins  Longest run 

HHTHHTH(TTTT)HHTHHTTHH  4 
HTT(HHH)TTHHHTHHTHHTHH  3 
HH(TTTT)HTHHHTHTHTTHTT  4 
HTHTHTHTHT(HHHH)TTHTHH  4 
TTT(HHHHH)TTHHHTTHTHTH  5 
Your goal is to estimate what the average length of the longest run
is. be sure to explain your technique in you email as well as giving
us the answer. Send your answer to
mathstat@uoguelph.ca
Back to Problems

