I'm looking for a word that refers to something like "concluding that the same thing/event will happen again, and will continue to result in the same without fail, due to similar circumstances that happened in previous events; following a pattern of similar situations as basis, in which another case that is similar to the previous ones, you'll be able to draw a conclusion to what will be the most likely outcome of this present event."
Ex. Event 1: There is a co-operated cultural festival between several different school. During the 2nd day of the cultural festival, the clouds are dark and it begins to rain.
Event 2: 1 year after that, on the same 2nd day of the cultural festival, clouds become dark and it rains.
Events 3-99: Every year, during the same 2nd day of the cultural festival, clouds turn dark and rain soon follow. This weather phenomenon occurs every year WITHOUT FAIL, and it become sort pf a tradition to celebrate the rain.
Event 100: There is a freshman that wondered why everyone brought umbrellas today, even though the clouds aren't dark, hinting no sign of rain. Note that it is the 2nd day of the cultural festival. His senior says that it will rain today, drawing his conclusion from the pattern of past events, even though today the clouds aren't dark. Soon enough, a strong torrent of rain falls from the sky, all while the warm sunlight is shining down on them.
Note: THERE IS AN EXACT WORD FOR THIS. I know it because I had just recently googled the word not long ago. I just forgot the word. Don't tell me to look it up in the web history, I often browse in incognito mode to free myself from cache data.