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Math Help - probability and statictics work

  1. #1
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    probability and statictics work

    1.state the Axioms of property
    2.suppose that A and D are independent event such that the
    probability that neither occurs is a and the probability of B
    occuring is b. show that p(A)=1-b-a/1-b
    3.A die is weighted so that 4 is twice as likely to appear as the
    number 1,2,3,5 and 6 is twice as likely to appearas 4
    find the probability of obtaining an even number of a single row on the die
    Last edited by CaptainBlack; April 11th 2008 at 01:27 PM.
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  2. #2
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    Well it can be written simply as A+B+a+b=1

    where A=probability of A
    B=prob of B
    a=neither
    and b=both

    the both can be written also as the probability of A x prob of b

    ie. b=AB

    therefore
    A+B+a+AB=1
    A(1+B)=1-B-a
    A=(1-B-a)/(1+B) which is almost what you had in the question but i think this should be the answer

    3. The probability of the dice can be written as follows;
    1=x
    2=x
    3=x
    4=2x
    5=x
    6=4x

    therefore
    10x=1
    x=0.1
    and therefore as the even numbers add up to 7x the prob is 0.7

    Hope that helps
    Chris
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