Answer
It is a good deal, because the other student will NOT be able to grab the dollar bill due to the reaction time.
Work Step by Step
$S=ut+\frac{1}{2}gt^{2}$
$S=0+0.5\times 9.8\times 0.2^{2}=0.196\,m=19.6\,cm$ which is greater than 15.7 cm, the dollar bill length.
So, the fellow student will NOT be able to grab it.