gpinney4124 gpinney4124
  • 19-07-2019
  • Mathematics
contestada

1.) Given P(E or F) = 0.82, P(E) = 0.18, and P(E and F) = 0.09, what is P(F)?

Respuesta :

A1peakenbe A1peakenbe
  • 23-07-2019

Answer:

p(F)=0.73

Step-by-step explanation:

we have by identity

[tex]p(A\cup B)=p(A)+p(B)-p(A\cap B)[/tex]

Thus for given events E and F

we have[tex]p(E\cup F)=p(E)+p(F)-p(E\cap F)[/tex]

Applying values we get

[tex]p(F)=p(E\cup F)+p(E\cap F)-p(E)[/tex]

Thus

p(F) = 0.82+0.09-0.18

p(F) = 0.73

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