Are they mutually exclusive? P(B|A) = 0.67 P(B) = 0.25 So P(B) does not equal P(B|A) which means that B and A are not independent (wearing blue and rooting for the away team are not independent). They are also not mutually exclusive, becauseP(B AND A) = 0.20, not 0....
3. Mutually Exclusive vs. Independent Events It’s vital not to confuse “mutually exclusive” with “independent” events. Two events are independent if the occurrence of one event does not affect the probability of the other event happening. Mutually exclusive events are always dependent because ...
Are the events of rooting for the away team and wearing blue independent? Are they mutually exclusive? Show Solution Example In a particular college class, 6060% of the students are female. Fifty percent of all students in the class have long hair. Forty-five percent of the students are ...