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If Events A and B are mutually exclusive and the P(A) = 0.26 and the P(B) = 0.67 what is P(B...

Question:

If Events {eq}A {/eq} and {eq}B {/eq} are mutually exclusive and the {eq}P(A) = 0.26 {/eq} and the {eq}P(B) = 0.67 {/eq} what is {eq}P(B | A) {/eq}?

Mutually Exclusively Events:

In this question, we will use the concept of the mutually exclusive events and the formula of the conditional probability to calculate the required probability. The intersection of the exclusive events is zero.

Answer and Explanation:

Given that,

{eq}P(A) = 0.26\\ P(B) = 0.67 {/eq}


If events A and B are mutually exclusively then,

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


The required probability is {eq}P(B|A). {/eq}

Now,

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


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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