STA 2023 Lecture Notes - Lecture 9: Complementary Event, Medical Test, Mutual Exclusivity
Document Summary
Two events a and b are mutually exclusive if a and b cannot occur at the same time. Example 1-decide if the events are mutually exclusive: event a: roll a 3 on a die. Event b: roll a 4 on a die. Mutually: event a: randomly select a male student. The addition rule for the probability of a or b. If events a and b are mutually exclusive, then the rule can be simplified to. If two events a and b are non-mutually exclusive, then. Using the addition rule: a day of the week is selected a random. Find the probability that it is a weekend day. Find the probability of rolling a number less than 3 or rolling an odd number. 2/3: in a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males.