Mathematics 1228A/B Lecture Notes - Lecture 16: Conditional Probability, Sample Space, Propyl Group

• School: Western University
• Department: Mathematics
• Course: Mathematics 1228A/B
• Professor: Allen O'Hara

Document Summary

Probability allows us to mathematically express and study uncertainty. Due to uncertainty in our experiments, however, there may be situations where new. In effect we get a new sample space c information causes us to discard sample points and receive our numbers. Perhaps, from comparing to last year"s whether we might have weights: You awake the next day and your friends" bursts into the room and says it"s cloudy. Knowing c has happened allows us to ignore or discard sample points: No clouds + no rain,no cloud + rain. But recall that pr[sample space]=1 with our old probabilities/weights, We fix this by assigning new weights to cloud + rain and cloudy + no rain. Since r:{clouds+rain,no clouds+rain} (our previous weights aren"t good enough. ) (new weights!) With our new information, we think there is a 40% chance of rain. We have two events, e and f. We are told f happened/will definitely happen.