Question 1206426
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The solution from the other tutor shows a more sophisticated method for solving the problem.  That method is often necessary when the problems get more complex.<br>
For an elementary problem like this, another more basic method can be used.<br>
The probability that the two particular students both get selected to the team with 16 members is {{{(16/30)(15/29)=240/870}}}.<br>
The probability that the two particular students both get selected to the team with 14 members is {{{(14/30)(13/29)=182/870}}}.<br>
So the probability that they get selected on the same team is {{{(240+182)/(870)=422/870}}} = 0.485 to 3 decimal places.<br>
ANSWER: 0.485, to 3 decimal places<br>