Pulsified333
  • Pulsified333
about independent events E and F in a sample space S, but assume that Pr[E]=0.2 and Pr[F]=0.4. Compute the following conditional probabilities: (1) Pr[E′|F]= (2) Pr[E|F′]=
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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misty1212
  • misty1212
if they are independent, then multiply
Pulsified333
  • Pulsified333
hello again :D
misty1212
  • misty1212
hi!!

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Pulsified333
  • Pulsified333
but what happens if its the complement of one of them
misty1212
  • misty1212
if they are independent then \[P(E'|F)=P(E')P(F)\]
Pulsified333
  • Pulsified333
oh sweet :D
misty1212
  • misty1212
should be pretty clear that if the events are independent, then so are the compliments etc q
Pulsified333
  • Pulsified333
that didn't work
Pulsified333
  • Pulsified333
@misty1212
misty1212
  • misty1212
hmm i see my mistake
Pulsified333
  • Pulsified333
oh
misty1212
  • misty1212
to find\[P(E'|F)=\frac{P(E'\cap F)}{P(F)}=\frac{P(E')P(F)}{P(F)}=P(E')\] which is a silly way of saying that if E' and F are independent then \(P(E'|F)=P(E')\)

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