An auto-regressive language model using a greedy decision rule has generated the sequence 'The cat sat' with a cumulative probability of 0.2. At the next step, the model calculates the following conditional probabilities for the next token: P('on' | 'The cat sat') = 0.6, P('by' | 'The cat sat') = 0.3, and P('under' | 'The cat sat') = 0.1. What will be the newly generated sequence and its updated cumulative probability?

A language model is tasked with generating the three-token sequence 'The quick brown' using a greedy, auto-regressive approach. Arrange the following actions in the correct chronological order that the model would take.

Calculating Conditional Probability in a Generation Step