A PWM scores a candidate by multiplying its per-column frequencies.

highlighted = computed this step

Score a candidate by multiplying column frequencies

The consensus ACGT scores 1 times 3/4 times 1 times 3/4 equals 9/16.

134134=9161\cdot\frac{3}{4}\cdot1\cdot\frac{3}{4}=\frac{9}{16}
Candidate scoresScores multiply the per-position frequencies for each candidate.CandidatePseudocountScoreNoteACGTnone9/16bestACGAnone3/16one-mismatchTCGTnone0zero cellTCGT15/256pseudocount

Zero counts make zero scores

The one-mismatch candidate ACGA scores 3/16, while TCGT hits an unobserved first-position T and scores 0.

ACGA=316,TCGT=0\text{ACGA}=\frac{3}{16},\quad \text{TCGT}=0
Candidate scoresScores multiply the per-position frequencies for each candidate.CandidatePseudocountScoreNoteACGTnone9/16bestACGAnone3/16one-mismatchTCGTnone0zero cellTCGT15/256pseudocount

Pseudocounts keep unobserved bases possible

With pseudocount 1, TCGT has nonzero score 5/256. Brute-force search returns ACGT as the best candidate.

scorepseudo(TCGT)=5256\text{score}_{\text{pseudo}}(\text{TCGT})=\frac{5}{256}
Candidate scoresScores multiply the per-position frequencies for each candidate.CandidatePseudocountScoreNoteACGTnone9/16bestACGAnone3/16one-mismatchTCGTnone0zero cellTCGT15/256pseudocount