The graph consists of a collection of nodes (the dots in the figure) connected by edges (line segments from one node to another). A move on a graph is a move from one node to another along the single edge. Find the probability of moving from Start to Finish in a sequence of two random moves in the graph. (All directions are equally likely.)
A) $\frac { 3 } { 16 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 8 }$
E) $\frac { 3 } { 8 }$

Question

The graph consists of a collection of nodes (the dots in the figure) connected by edges (line segments from one node to another). A move on a graph is a move from one node to another along the single edge. Find the probability of moving from Start to Finish in a sequence of two random moves in the graph. (All directions are equally likely.)     
A) $\frac { 3 } { 16 }$ 
B) $\frac { 1 } { 4 }$ 
C) $\frac { 1 } { 16 }$ 
D) $\frac { 1 } { 8 }$ 
E) $\frac { 3 } { 8 }$

Quizplus · Accepted Answer

The Answer of The graph consists of a collection of nodes (the dots in the figure) connected by edges (line segments from one node to another). A move on a graph is a move from one node to another along the single edge. Find the probability of moving from Start to Finish in a sequence of two random moves in the graph. (All directions are equally likely.)     
A) $\frac { 3 } { 16 }$ 
B) $\frac { 1 } { 4 }$ 
C) $\frac { 1 } { 16 }$ 
D) $\frac { 1 } { 8 }$ 
E) $\frac { 3 } { 8 }$

The Graph Consists of a Collection of Nodes (The Dots 316\frac { 3 } { 16 }163​

The Graph Consists of a Collection of Nodes (The Dots $\frac { 3 } { 16 }$