Q and R are independent events. P(Q) = 0.4; P(Q AND R) = 0.08. Find P(R).

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24-02-2017
Mathematics

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Q and R are independent events. P(Q) = 0.4; P(Q AND R) = 0.08. Find P(R).

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LammettHash LammettHash · Answer 1 · 2017-02-24T17:57:31+01:00

LammettHash LammettHash

24-02-2017

Because Q and R are independent, you have

[tex]\mathbb P(Q\cap R)=\mathbb P(Q)\times\mathbb P(R)[/tex]
[tex]0.08=0.4\times\mathbb P(R)[/tex]
[tex]\implies \mathbb P(R)=0.2[/tex]

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