Compute both denominators at threshold five sixths.

highlighted = computed this step

Precision denominator at five sixths

TP plus FP is 1 + 0 = 1, so precision is 1.

precision=11=1\text{precision}={1\over1}=1
Precision and Recall ExactlyExact precision and recall denominators for two thresholds.same scored rows with precision and recall denominatorsthreshold 1/2score line, threshold 1/201t=1/2A5/6B2/3C1/2D1/3E1/6predictions at 1/2rowyscorepredA15/61B02/31C11/21D01/30E11/60confusion and denominators at 1/2itemexact valueTP2FP1FN1TN1precision denominator TP+FP3precision2/3recall denominator TP+FN3recall2/3threshold 5/6score line, threshold 5/601t=5/6A5/6B2/3C1/2D1/3E1/6predictions at 5/6rowyscorepredA15/61B02/30C11/20D01/30E11/60confusion and denominators at 5/6itemexact valueTP1FP0FN2TN2precision denominator TP+FP1precision1recall denominator TP+FN3recall1/3same rows; precision uses TP plus FP; recall uses TP plus FNdoes not claim: NOT best metric; NOT threshold policyNOT future performance; NOT accuracy; NOT calibrationNOT fairness; NOT safety; NOT generalization; NOT probability truth

Recall denominator at five sixths

TP plus FN is 1 + 2 = 3, so recall is 1 over 3.

recall=13\text{recall}={1\over3}
Precision and Recall ExactlyExact precision and recall denominators for two thresholds.same scored rows with precision and recall denominatorsthreshold 1/2score line, threshold 1/201t=1/2A5/6B2/3C1/2D1/3E1/6predictions at 1/2rowyscorepredA15/61B02/31C11/21D01/30E11/60confusion and denominators at 1/2itemexact valueTP2FP1FN1TN1precision denominator TP+FP3precision2/3recall denominator TP+FN3recall2/3threshold 5/6score line, threshold 5/601t=5/6A5/6B2/3C1/2D1/3E1/6predictions at 5/6rowyscorepredA15/61B02/30C11/20D01/30E11/60confusion and denominators at 5/6itemexact valueTP1FP0FN2TN2precision denominator TP+FP1precision1recall denominator TP+FN3recall1/3same rows; precision uses TP plus FP; recall uses TP plus FNdoes not claim: NOT best metric; NOT threshold policyNOT future performance; NOT accuracy; NOT calibrationNOT fairness; NOT safety; NOT generalization; NOT probability truth

The denominators answer different questions

Precision reads marked-positive rows. Recall reads actual-positive rows.

precision denominator TP+FP;recall denominator TP+FN\text{precision denominator }TP+FP;\quad \text{recall denominator }TP+FN
Precision and Recall ExactlyExact precision and recall denominators for two thresholds.same scored rows with precision and recall denominatorsthreshold 1/2score line, threshold 1/201t=1/2A5/6B2/3C1/2D1/3E1/6predictions at 1/2rowyscorepredA15/61B02/31C11/21D01/30E11/60confusion and denominators at 1/2itemexact valueTP2FP1FN1TN1precision denominator TP+FP3precision2/3recall denominator TP+FN3recall2/3threshold 5/6score line, threshold 5/601t=5/6A5/6B2/3C1/2D1/3E1/6predictions at 5/6rowyscorepredA15/61B02/30C11/20D01/30E11/60confusion and denominators at 5/6itemexact valueTP1FP0FN2TN2precision denominator TP+FP1precision1recall denominator TP+FN3recall1/3same rows; precision uses TP plus FP; recall uses TP plus FNdoes not claim: NOT best metric; NOT threshold policyNOT future performance; NOT accuracy; NOT calibrationNOT fairness; NOT safety; NOT generalization; NOT probability truth