Question

A hiker leaves point A shown in Figure 2.13 below, choosing at random one path from AB, AC, AD, and AE. At each subsequent junction she chooses another path at random, but she does not immediately return on the path she has just taken. a) What are the odds that she arrives at point X? b) You meet the hiker at point X. What is the probability that the hiker came via point C or E? Figure 2.13: Paths for Hiker

Answer 1

Answer :

A) number of ways of reaching X = 4, that is ABX, ACX, ADX, AEX

Number of ways of not reaching X = 7

Odds for reaching X = 4/7

B) p ( hiker come across C or E to X) = 2/4 = 1/2