#choice-models

Question 1: Single choice

mediumAI-checkedLogistic Regression & Softmax

The apple/orange choice model gets a third option, "neither", with score $o_{\text{neither}} = 0$ , and the softmax now runs over all three scores ( $o_{\text{apple}} = 3$ , $o_{\text{orange}} = 1$ ). What happens to the ratio $P(\text{apple}) / P(\text{orange})$ ?

It stays $e^{3 - 1} \approx 7.39$ ; only the shared denominator changes1
It falls, because the new option takes most of its share from the favourite2
It grows, because the apple has the larger score and loses less3
It now depends on the score given to the "neither" option4

Timed test