A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Pulsified333

  • one year ago

about events A and B of a sample space S, but assume that Pr[A′]=0.3, Pr[B]=0.5, and Pr[A′∩B]=0.2. Find the probabilities of the following events: (1) Pr[A∩B]= (2) Pr[A∪B]= (1) Pr[A′∪B]=

  • This Question is Closed
  1. Pulsified333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @dan815

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1442540376873:dw|

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do you know where \(A'\cap B\) is in the picture ?

  4. Pulsified333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    B

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    shade it in not B, but \(A'\cap B\)

  6. Pulsified333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then what is A′∩B

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the stuff in B that is not in A

  8. Pulsified333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1442540600013:dw|

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    got it now lets put a \(0.2\) there |dw:1442540629245:dw|

  10. Pulsified333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so that mean A U B is .3

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what you really mean is \[P(A\cap B)=0.3\] and the answer is yes

  12. Pulsified333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes my bad

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1442540747197:dw|

  14. Pulsified333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then how does A' is .3

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the .2 is in \(A'\) cause it is not in A also the stuff outside of both in in A' you used up .2 in B, that leaves only .1 outside

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1442540852342:dw|

  17. Pulsified333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so A = .4

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now all that is left to do is figure out what goes in \(A\cap B'\) the missing part all this has to add up to 1, so make sure it does

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah right

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1442540918987:dw|

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now you can figure out any probability you like from the picture, so long as you know what the set is

  22. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.