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March 27, 2017

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Consider the sample space S = {1, 2, 3, . . ., 10}. Let A = all odd numbers in S. Let B = all multiples of 5 in S. Compute P(B | A). Enter your answer as a fraction using the "/" and do not include spaces in your answer.

  • algebra** - ,

    A={1,3,5,7,9}
    B={5,10}
    A∩B={5}
    Assuming random sampling,
    P(B)=|B|/|S|=2/10=1/5
    P(A)=|A|/|S|=5/10=1/2
    P(A∩B)=1/10

    Finally,
    P(B|A)=P(B∩A)/P(A) (by definition)

    I'll let you take it from here.

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