document.write( "Question 876988: in a music class of 5 students each listens to the same 4 songs. each student listens to his or her favorite song without consulting the other students. what is the approximate probability that all five students select the same song? \n" ); document.write( "

Algebra.Com's Answer #529096 by DrBeeee(684) $\"\"$ $\"About$

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The probability that a student picks one song is one out of four or
\n" ); document.write( "(1) P(select a song) = 1/4
\n" ); document.write( "This is the same for each of the five student. The probability that each selects the same song is the product of each one or
\n" ); document.write( "(2) P(all select the same song) = (1/4)*(1/4)*(1/4)*(1/4)*(1/4) or
\n" ); document.write( "(3) P(all select the same song) = (1/4)^5 or
\n" ); document.write( "(4) P(all select the same song) = 1/(2^10) or
\n" ); document.write( "(5) P(all select the same song) = 1/1024 or
\n" ); document.write( "(6) P(all select the same song) = 0.0009765625...
\n" ); document.write( "I'm not a super expert in probability so see if any one else agrees. \n" ); document.write( "

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