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Pulsified333

  • one year ago

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′]=

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  1. misty1212
    • one year ago
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    if they are independent, then multiply

  2. Pulsified333
    • one year ago
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    hello again :D

  3. misty1212
    • one year ago
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    hi!!

  4. Pulsified333
    • one year ago
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    but what happens if its the complement of one of them

  5. misty1212
    • one year ago
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    if they are independent then \[P(E'|F)=P(E')P(F)\]

  6. Pulsified333
    • one year ago
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    oh sweet :D

  7. misty1212
    • one year ago
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    should be pretty clear that if the events are independent, then so are the compliments etc q

  8. Pulsified333
    • one year ago
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    that didn't work

  9. Pulsified333
    • one year ago
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    @misty1212

  10. misty1212
    • one year ago
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    hmm i see my mistake

  11. Pulsified333
    • one year ago
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    oh

  12. misty1212
    • one year ago
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    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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