SOLUTION: In a school all the students listen to some kind of music. Of those, 60% listen to rock music, 20% listen to dance music, and 10% listen to both types of music. Determine the prob

Question 1196981: In a school all the students listen to some kind of music. Of those, 60% listen to rock music, 20% listen to dance
music, and 10% listen to both types of music. Determine the probability that a student listens to music other than rock
or dance music given that they listen to music.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
In a school all the students listen to some kind of music. Of those, 60% listen to rock music, 20% listen to dance
music, and 10% listen to both types of music. Determine the probability that a student listens to music other than rock
or dance music given that they listen to music.
~~~~~~~~~~~~~~~

The percentage of those who listen to rock or dance music is

    60% + 20% - 10% = 70%        .


Hence,  100-70% = 30% listen other than rock or dance music.


So,   the  ANSWER to your question is

    P = 30% = 0.3.

Solved.

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