Question

A class consisting of 4 graduate and 12 undergraduate students is random divided into 4 groups of 4. what is the probability that each group includes a graduate student? give your answer accurate to 2 decimal places.

Answer 1

Total = 16
Graduates = 4

$\frac{4}{16} = \frac{1}{4}$
$\frac{1}{4} \div 4 \\ = \frac{1}{4} \times \frac{1}{4} \\ = \frac{1}{16}$
$\frac{1}{16} = 0.0625$
Rounding off to 2 decimal places,
Answer is 0.06

Hope this helps. - M