sarawoodsgirl
sarawoodsgirl sarawoodsgirl
  • 15-07-2018
  • Mathematics
contestada

A. 3/8

B. 1/2

C. 4/9

D. 5/9

A 38 B 12 C 49 D 59 class=

Respuesta :

konrad509
konrad509 konrad509
  • 15-07-2018

[tex] P(B|A)=\dfrac{P(A \cap B)}{P(A)}\\\\
|\Omega|=9\cdot8=72\\
|A|=4\cdot8=32\\
|A\cap B|=4\cdot3=12\\\\
P(A)=\dfrac{32}{72}=\dfrac{4}{9}\\
P(A \cap B)=\dfrac{12}{72}=\dfrac{1}{6}\\\\
P(B|A)=\dfrac{\dfrac{1}{6}}{\dfrac{4}{9}}=\dfrac{1}{6}\cdot\dfrac{9}{4}=\dfrac{3}{8}\Rightarrow \text{A} [/tex]

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