document.write( "Question 47461: 40 students enrolled in three areas of study.
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document.write( "23 students in music
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document.write( "25 students in math
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document.write( "27 students in comp. science\r
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document.write( "7 took mathematics and music only
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document.write( "5 took music and computer science only
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document.write( "6 took math and comp. sci. only
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document.write( "7 took all three subjects\r
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document.write( "What is the probability a student took exactly one of the three courses? \n" );
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Algebra.Com's Answer #31333 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! 40 students enrolled in three areas of study. \n" ); document.write( "LET US USE A ^ B TO SHOW A INTERSECTION B \n" ); document.write( " 23 students in music(S..SAY) \n" ); document.write( " 25 students in math(M..SAY) \n" ); document.write( " 27 students in comp. science(C...SAY) \n" ); document.write( "------------------------------------------------------------------------------ \n" ); document.write( " 7 took mathematics and music DISABLED_event_only= M&S ONLY \n" ); document.write( " 5 took music and computer science DISABLED_event_only= S&C ONLY \n" ); document.write( " 6 took math and comp. sci. DISABLED_event_only= M&C ONLY \n" ); document.write( " 7 took all three subjects=M&C&S=7 \n" ); document.write( "=================================================== \n" ); document.write( "HENCE THOSE WHO TOOK MATHS DISABLED_event_ONLY= M-M&S ONLY-M&C ONLY - M&S&C=25-7-6-7=5 \n" ); document.write( "THOSE WHO TOOK MUSIC DISABLED_event_ONLY= S-S&M ONLY-S&C ONLY-S&C&M=23-7-5-7=4 \n" ); document.write( "THOSE WHO TOOK COMPUTRERS DISABLED_event_ONLY= C-C&M ONLY-C&S ONLY-C&S&M=27-6-5-7=9 \n" ); document.write( "HENCE PROBABILITY OF HAVING THOSE WHO TOOK ONLY ONE SUBJECT=(5+4+9)/40=18/40=9/20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " What is the probability a student took exactly one of the three courses?\r \n" ); document.write( "\n" ); document.write( "You may edit the question. Maybe convert formulae to the same formula notatio \n" ); document.write( " |