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

A. 3/19

B. 4/19

C. 1/5

D. 5/19

A 319 B 419 C 15 D 519 class=

Respuesta :

konrad509
konrad509 konrad509
  • 15-07-2018

[tex] P(B|A)=\dfrac{P(A \cap B)}{P(A)}\\\\
|\Omega|=20\cdot19=380\\
|A|=5\cdot19=95\\
|A\cap B|=5\cdot4=20\\\\
P(A)=\dfrac{95}{380}=\dfrac{1}{4}\\
P(A \cap B)=\dfrac{20}{380}=\dfrac{1}{19}\\\\
P(B|A)=\dfrac{\dfrac{1}{19}}{\dfrac{1}{4}}=\dfrac{1}{19}\cdot4=\dfrac{4}{19}\Rightarrow B [/tex]

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