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Math Help - Probability!

  1. #1
    Member classicstrings's Avatar
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    Probability!

    THe probability that a married woman watches a certain tv show is 0.4, and the probability that her wife watches the show is 0.5. The TV viewing habits of a husband and wife are clearly not independant (why??). In fact, the probability that a married woman watches the show given that her husband does is 0.7. FInd the probability that:

    a. Both husband and wife watch the show.
    b. The husband watches the show given that his wife watches it.

    I'm having trouble with this, and distinguishing between independent and conditional events. Thanks!
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  2. #2
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by classicstrings View Post
    THe probability that a married woman watches a certain tv show is 0.4, and the probability that her wife watches the show is 0.5.
    I assume you meant her husband.

    When I watch tv, I usually end up getting stuck without the remote, so I end up watching whatever my brother watches. Therefore, what I watch isn't independent from what my brother watches.

    a. P( h and w ) is the husbands probability times the wife's probability, so:
    hw=p(handw)

    thus: (.5)w=P(handw)

    now remember, if the husband watches the show, than the wife has a 70 percent chance instead of 40: (.5)(.7)=.35=P(handw)
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  3. #3
    Member classicstrings's Avatar
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    Hey! Oops @ her wife

    Is P( h and w ) the same as P(H intersection W)?

    Oh and has the ability to type maths symbols been taken off?
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  4. #4
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    Quote Originally Posted by classicstrings View Post
    Hey! Oops @ her wife

    Is P( h and w ) the same as P(H intersection W)?
    Remember, I'm a freshman and can't really answer that question

    Oh and has the ability to type maths symbols been taken off?
    yes

    this site had an upgrade, and apparently the administrators had to reinstall Latex, but have been waiting for the newest version before they do.
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  5. #5
    Member classicstrings's Avatar
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    [QUOTE=Quick;21262]Remember, I'm a freshman and can't really answer that question
    yes QUOTE]

    Really? I thought you knew everything, considering the amount of posts and help you provide around here.

    What is Multi-quote?? Just tried that and no idea what it does.
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  6. #6
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    Quote Originally Posted by classicstrings View Post
    Is P( h and w ) the same as P(H intersection W)?
    Yes indeed, they are equivalent expressions.
    Intersection mean ĎANDí in sets: in H and in W, H and W both happen.
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