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

Question 51

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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%60 \% meet someone new to date. A student who attends the mixer is randomly selected.
-In the situation above, if MM is the event of meeting someone new and DD is the event of a student dancing, determine by calculation using a formula whether MM and DD are independent.

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