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If P(A) = 0.20, P(B) = 0.30 and P(A intersect B) = 0, then A and B are: (a) complementary events....

Question:

If {eq}P(A) = 0.20, \; P(B) = 0.30 {/eq} and {eq}P(A \cap B) = 0, {/eq} then {eq}A {/eq} and {eq}B {/eq} are:

(a) complementary events.

(b) dependent events.

(c) mutually exclusive events.

(d) independent events.

Mutually Exclusive Events:

Two events A and B are said to be mutually exclusive if occurrence of one event precludes the occurrence of other event,

i.e both events can not occur simultaneously

{eq}P(A \cap B)=0 {/eq}

Answer and Explanation:


We are given

P(A)=0.20 ,P(B)=0.30

Also {eq}P(A \cap B)=0 {/eq}

So A and B are said to be Mutually Exclusive Events .


Learn more about this topic:

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Mutually Exclusive in Statistics: Definition, Formula & Examples

from High School Algebra II: Help and Review

Chapter 25 / Lesson 8
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