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Pulsified333

  • one year ago

involving sets E and F. Suppose for this problem that Pr[E]=1/2, Pr[F]=5/16, and Pr[E∩F′]=1/4. (1) What is Pr[E|F]? (2) What is Pr[F|E]?

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  1. misty1212
    • one year ago
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    must be some typo here does it really say \[P(E)=12\]??

  2. Pulsified333
    • one year ago
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    sorry i forgot to fix the fractions

  3. misty1212
    • one year ago
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    or is that maybe \[P(E)=\frac{1}{2}\]?

  4. Pulsified333
    • one year ago
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    its 1/2

  5. misty1212
    • one year ago
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    how about the rest?

  6. misty1212
    • one year ago
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    oh nvm i see they are fixed

  7. Pulsified333
    • one year ago
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    :)

  8. misty1212
    • one year ago
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    in any case \[P(A|B)=\frac{P(A\cap B)}{P(B)}\]

  9. misty1212
    • one year ago
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    so \[P(E|F)=\frac{P(E\cap F)}{P(F)}\] how have those numbers

  10. misty1212
    • one year ago
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    l meant "you" have those numbers

  11. Pulsified333
    • one year ago
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    we don't have P(E∩F)

  12. misty1212
    • one year ago
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    looks like you wrote it was \(\frac{1}{4}\)

  13. Pulsified333
    • one year ago
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    that is Pr[E∩F′]=1/4.

  14. Pulsified333
    • one year ago
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    not the same thing as P(E∩F)

  15. misty1212
    • one year ago
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    |dw:1442890782534:dw|

  16. misty1212
    • one year ago
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    you can find \[P(E\cap F)\] by subtracting \[P(E\cap F')\] from \(P(E)\)

  17. Pulsified333
    • one year ago
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    really?

  18. misty1212
    • one year ago
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    can you see it in the picture?

  19. Pulsified333
    • one year ago
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    so you are saying its 1/4

  20. misty1212
    • one year ago
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    |dw:1442891040553:dw||dw:1442891076272:dw|

  21. Pulsified333
    • one year ago
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    so its (1/4)/(5/16)

  22. misty1212
    • one year ago
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    yeah in your case it is \(\frac{1}{4}\)

  23. misty1212
    • one year ago
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    and yes, your answer is right (after you do the math)

  24. Pulsified333
    • one year ago
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    so its 4/5

  25. misty1212
    • one year ago
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    yes

  26. Pulsified333
    • one year ago
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    and then #2 is 1/2

  27. misty1212
    • one year ago
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    yes

  28. Pulsified333
    • one year ago
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    thank you :D can you help me on another one?

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