gmatprep probability

[vkb16]

A and B work at a factory with 4 other workers. For a survey, 2 out of the 6 employees will be selected. Whats the prob. that both A and B will be selected?

1/15

1/12

1/9

1/6

1/3

OA is A

[mike22629]

With probability problems on GMAT, I have found that it is often best to first find the total number of possibilities.

There are 6 Total workers and it is asking for comibinations of 2.

To find Total: 6C2 = 6!/(2!*4!) This is combinations formula
= 15

Now find how many different ways A and B can be chosen. There are only two of them, and you have to choose 2, so there is only 1 possibility.
(Note that order does not matter, so the Combinations formula is used. If the question said that the order that the people were surveyed mattered, then the Permuations Formula should be used)

So there answer is 1/15

[artistocrat]

chances are 2/6 that A or B will be chosen on the first pick. chances are then 1/5 that the remaining A or B will be chosen. So,

2/6*1/5=2/30=1/15