2001 Stanford Math Tournament Team #12
Source:
May 24, 2014
StanfordcollegeprobabilityAMCAIMEcomplementary counting
Problem Statement
A binary string is a string consisting of only 0’s and 1’s (for instance, 001010, 101, etc.). What is the probability that a randomly chosen binary string of length 10 has 2 consecutive 0’s? Express your answer as a fraction.