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Math Help - Please need help with probability question before exam tmw

  1. #1
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    Exclamation Please need help with probability question before exam tmw

    The question is..

    A, B and C are events of a sample space headphones(cant find symbol). Obtain expressions for each of the following events:

    a. exactly one occurs;

    b. exactly two occur;

    c. at most two occur

    d. both B and C occur but not A
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  2. #2
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    Re: Please need help with probability question before exam tmw

    Quote Originally Posted by MathJack View Post
    A, B and C are events of a sample space headphones(cant find symbol). Obtain expressions for each of the following events:
    a. exactly one occurs;
    b. exactly two occur;
    c. at most two occur
    d. both B and C occur but not A
    I will do one of these. BUT you must respond with attempts on the other three.

    a) (A\cap\overline{B}\cap\overline{C})\cup(\overline{  A}\cap B\cap\overline{C})\cup(\overline{A}\cap\overline{B  }\cap C)

    Where \overline{D} is the complement of D
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    Re: Please need help with probability question before exam tmw

    Thanks Plato, Please let me know if these are correct. Also it looks like its asking for a probabilistic expression, am I wrong?

    b. (AnBnC') U (AnB'nC) U (A'nBnC')
    c.Is this a union of part a. and b. ?
    d. (BnCnA')

    Thanks please let me know if these are correct
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    Re: Please need help with probability question before exam tmw

    Quote Originally Posted by MathJack View Post
    Thanks Plato, Please let me know if these are correct. Also it looks like its asking for a probabilistic expression, am I wrong?
    b. (AnBnC') U (AnB'nC) U (A'nBnC')
    c.Is this a union of part a. and b. ?
    d. (BnCnA')
    Thanks please let me know if these are correct

    Parts b & d are correct.

    But not part c.
    c) is none, one, or two but not three.

    \overline{A\cap B\cap C}=\overline{A}\cup\overline{B}\cup\overline{ C}
    Thanks from MathJack
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