Thirty Percent of Students Attending a Certain Student Mixer Meet $60 \%$

Essay

Thirty percent of students attending a certain student mixer meet someone new to date. Forty percent of students attending the mixer dance at sometime during the mixer. Of those who dance, $60 \%$ meet someone new to date. A student who attends the mixer is randomly selected.
-In the situation above, if $M$ is the event of meeting someone new and $D$ is the event of a student dancing, determine by calculation using a formula whether $M$ and $D$ are independent.