document.write( "Question 1024056: Out of 20 girls in a class, 12 like music and 15 like movie.IF a girl is selected at random from the class, what is the probability that she likes both lobbies? \n" ); document.write( "

Algebra.Com's Answer #639529 by mathmate(429) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Question:
\n" ); document.write( "Out of 20 girls in a class, 12 like music and 15 like movie.IF a girl is selected at random from the class, what is the probability that she likes both lobbies?
\n" ); document.write( "
\n" ); document.write( "Solution:
\n" ); document.write( "We're missing some information here.
\n" ); document.write( "There are 20 girls in the class, out of which 12 like music and 15 like movie.
\n" ); document.write( "It is not stated how many of them like neither music or movie. This number could range from 0 to 5 (since 15 like movie).
\n" ); document.write( "To answer the question, we take two extreme cases.
\n" ); document.write( "(a) Every girl likes either movie or music, or both.
\n" ); document.write( "This means that 15 like movie, the remaining five like only music. That leave 7 who like both.
\n" ); document.write( "(b) Five (maximum) girls don't like movie, nor music.
\n" ); document.write( "That leaves all 12 girls who like music like movie as well.
\n" ); document.write( "
\n" ); document.write( "Therefore the number of girls who like both music and movie ranges from 7 to 12.
\n" ); document.write( "Hence the probability of a randomly selected girl liking both is 7/20 to 12/20, or between 0.35 and 0.60. \n" ); document.write( "

\n" );