# Project #90118 - Pathway Probability Question

There is a lost tourist in New York. The streets in New York run east to west and go from ..., S. 2nd St., S. 1st St., Broadway St., N. 1st St., N. 2nd St., ... The avenues run north to south and go from ..., E. 2nd Ave., E. 1st Ave., Broadway Ave., W. 1st Ave., W. 2nd Ave., ... These streets form a square block grid. For each of the questions below, the tourist starts at the intersection of Broadway St. and Broadway Avenue and moves one block in each of the four cardinal directions with equal probability. What is the probability that the tourist is at least 3 city blocks (as the crow flies) from Broadway and Broadway after 10 moves? What is the average number of moves until the first time the tourist is at least 10 city blocks (as the crow flies) from Broadway and Broadway.

 Subject Mathematics Due By (Pacific Time) 10/31/2015 12:00 am
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