acatnamedmilo
acatnamedmilo acatnamedmilo
  • 19-03-2017
  • Mathematics
contestada

J and K are independent events. P(J | K) = 0.1. Find P(J)

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LammettHash
LammettHash LammettHash
  • 19-03-2017
[tex]\mathbb P(J|K)=\dfrac{\mathbb P(J\cap K)}{\mathbb P(K)}=\dfrac{\mathbb P(J)\mathbb P(K)}{\mathbb P(K)}=\mathbb P(J)[/tex]

because [tex]\mathbb P(J\cap K)=\mathbb P(J)\mathbb P(K)[/tex] due to independence. So [tex]\mathbb P(J)=0.1[/tex].
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