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

Short Answer

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, find the probability that he/she has danced if you know that he/she met someone new to date.