<PRE><B>Question 1176469</B>
&lt;br&gt;
Use the basic definition of probability:&lt;br&gt;&lt;pre&gt;
                          number of desirable outcomes
  P(desired outcome) = ---------------------------------
                       total number of possible outcomes&lt;/pre&gt;
The total number of possible outcomes is the number of ways of choosing 5 of the 26 students on the class: 26 choose 5.&lt;br&gt;
The number of desirable outcomes is the number of ways of choosing 3 of the 14 science majors AND 2 of the other 12 students: (14 choose 3) times (12 choose 2).  Note the AND means those two numbers of ways get multiplied.&lt;br&gt;
So the probability that 3 of the 5 chosen are science majors is&lt;br&gt;
{{{(C(14,3)*C(12,2))/C(26,5)}}}&lt;br&gt;
Use a calculator....&lt;br&gt;
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