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Math Help - Please check my solution

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    Question Probability - please, check my solution

    Please, could you check my solution of this two problems?

    1) The 30% of the products has a positive nominal value and the 70% of the products has a negative nominal value. To control the products are chosen 3 random of 100.
    What is the probability that at least one product has a positive bias?

    My solution:

    [C(30,1)*C(70, 2)+C(30,2)*C(70,1) + C(30,3)*C(70,0)] / C(100,3) = 106960/1611700 = 0,66

    Is it good?

    2) A Bus is stopping on 10 bus stops. In the bus are 4 passengers. What is probability that no 2 passengers does not exit the bus at the same time?
    My solution:

    P = 10! / (10^4 * (10-4)!) = 0,504

    Is it good?


    Thank you very much for every answer! I'm sorry for my English... :-)
    Last edited by lgtrumpet; May 16th 2012 at 01:50 PM.
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