Assume that a student is chosen at random from a class determine whether the events A and B are independent, mutually exclusive or neither A. The student is majoring in women's studies. B. The student is a man.
Mutually Exclusive and Independent Events:
When two events are such that the occurrence of one event restricts the happening of another event then they are said to be mutually exclusive.
When two events are such that the occurrence of one event is unaffected with the happening of preceding or the succesive event then they are said to be independent events.
Answer and Explanation:
A student is chosen at random from a class.
A: The student is majoring in women's studies.
B: A student is a man.
Event A: There can be a male student who is majoring in women's studies or it can be a female student who is majoring in women's studies.
Event B: The male student can be a student who is majoring in women's studies or majoring in a different field.
There are chances that both events can be the same or can be different. It cannot be said whether they are mutually exclusive or independent. The events A and B are neither independent nor mutually exclusive.
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Learn more about this topic:
from 6th-8th Grade Math: Practice & ReviewChapter 48 / Lesson 5