The first trellis column multiplies start probability by emission probability.

highlighted = computed this step

Start probability times emission probability

The first observed symbol is G. For state I, compute 1/2 times 3/4 equals 3/8.

1234=38\frac{1}{2}\cdot\frac{3}{4}=\frac{3}{8}
First trellis columnThe initial column multiplies start probability by emission probability.StateV[0]I3/8N1/8

Do the same for the normal state

For state N, compute 1/2 times 1/4 equals 1/8.

1214=18\frac{1}{2}\cdot\frac{1}{4}=\frac{1}{8}
First trellis columnThe initial column multiplies start probability by emission probability.StateV[0]I3/8N1/8