While the change in who was favored to win the 2016 election was indeed large, it didn't change that dramatically and didn't change in seconds. The NYT 2016 prediction chart is still available on their site: https://www.nytimes.com/elections/2016/forecast/president

The labeling on the horizontal axis on the chart is terrible, but roughly this is a change from 20% to 95% in about 2 or 3 hours. It doesn't look like they ever had it at less than 15% (again, give or take a few points due to bad infographic-esque picture).