Probability/Additional Topics in Probability and Counting Question 50 Probability

A company that has #n employees chooses a committee of #r to represent employee retirement issues.  When the committee was formed, none of the #m minority employees were selected.

  1. Find the number of ways #r employees can be chosen from #n.
    {#1}

  2. Find the number of ways #r employees can be chosen from #b nonminorities.
    {#2}

  3. If the committee was chosen randomly (without bias), what is the probability that it contained no minorities?
    {#3}

  4. Does your answer to part 3 indicate that the committee selection was biased?
    {#4}
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