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Math Help - Probability: mutually exclusive events

  1. #1
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    Probability: mutually exclusive events

    Hi!
    So i don't know why but i am totally bugging on this problem:

    "An experiment results in one of three mutually exclusive events A,B and C. It is knows that p(A)=.30, p(B)=.55 and p(C)=.15.
    Find each of the following probabilities:
    a - p(a u b)
    b - p(a n b)
    c - p(a|b)
    d - p(b u c) "

    so i would know how to find b-, c- and d- but i can't get started with a-.

    they say it's mutually exclusive, but does it mean that p(a n b n c)=0 or that p(a n b)= 0 and p(a n c)=0 and p(b n c)= 0 ?

    I am confused! Thanks..
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  2. #2
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    Quote Originally Posted by sohalia34 View Post
    An experiment results in one of three mutually exclusive events A,B and C. It is knows that p(A)=.30, p(B)=.55 and p(C)=.15.
    Find each of the following probabilities:
    a - p(a u b) b - p(a n b) c - p(a|b) d - p(b u c) "

    they say it's mutually exclusive, but does it mean that p(a n b n c)=0 or that p(a n b)= 0 and p(a n c)=0 and p(b n c)= 0 ?
    The term mutually exclusive usually means pairwise disjoint.
    So yes, the above would all be zero.
    \begin{array}{rcl}<br />
   {P(A \cup B)} &  =  & {P(A) + P(B) - P(A \cap B)}  \\<br />
   {} &  =  & {P(A) + P(B) - P(\emptyset )}  \\<br />
   {} &  =  & {P(A) + P(B)}  \\ \end{array}
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