p=[0.8, 0.8, 0.01]; mean_probability=0.536667; mean_logit_then_sigmoid=0.352627
p=[0.8, 0.8, 0.8]; mean_probability=0.800000; mean_logit_then_sigmoid=0.800000
p=[0.8, 0.8, 0.1]; mean_probability=0.566667; mean_logit_then_sigmoid=0.547801
opposite_decisions: probability_pool=1; logit_pool=0
PASS: 18 geometric-mean checks, identical inputs, threshold and invalid inputs
