ISYE 2027 Chapter Notes - Chapter 3: Conditional Probability, Chemical Reactor, European Commission
11 Apr 2017
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Week 2-3 dklm textbook notes: chapter 3: conditional probability and independence, when considering an event that happened, it is sometimes necessary to reassess b. the probability the conditional probability. If the conditional probability is equal to what the probability was before, the events are called independent: 3. 1 conditional probability c. i. When something about the situation is known, then the conditional probability is expressed as follows: conditional probability of x given y or. P(x|y) is the proportion that p(r l) is of p(l). P(x|y) is not the same as p(x y) c. ii. The example in which we observe the order of envelopes at the door shows that x y p(x|y). c. iii. Computing the probability of an event a, given that an event c occurs, means finding which fraction of the probability of c is also in the event a. c. iv. Definition: the conditional probability of a given c is given by: c. iv. 1. c. iv. 2.
