document.write( "Question 295620: Four girls and eight boys want to be president or vice president of the Student Council. To be fair, a teacher puts their names in a hat and selects two. Find each probability.\r
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document.write( "1. Find the probability that two boys are elected.
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document.write( "2. Find the probability that two girls are elected.
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document.write( "3. find the probability that the president is a boy and the vice president is a girl.
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document.write( "4. Find the probability that the president is a girl nad the vice president is a boy.
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document.write( "My son answered all the questions as 1/6.
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document.write( "Please explain your answers, so I can explain it to my son. Thank you for your time. \n" );
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Algebra.Com's Answer #213037 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! Four girls and eight boys want to be president or vice president of the Student Council. \n" ); document.write( "A) Out of 8 boys 2 can be selected in 8C2 = (8*7)/(1*2)=28 ways\r \n" ); document.write( "\n" ); document.write( "B) Out of 4 girls 2 can be selected in 4C2 = (4*3)/(1*2)= 6 ways\r \n" ); document.write( "\n" ); document.write( "C) Out of 8 boys 1 can be selected as president in 8C1 = 8 ways and\r \n" ); document.write( "\n" ); document.write( " out of 4 girls 1 can be selected as vice president in 4C1 = 4 ways.\r \n" ); document.write( "\n" ); document.write( "Total number of ways = 8*4 = 32\r \n" ); document.write( "\n" ); document.write( "D) Out of 8 boys 1 can be selected as vice president in 8C1 = 8 ways and\r \n" ); document.write( "\n" ); document.write( " out of 4 girls 1 can be selected as president in 4C1 = 4 ways.\r \n" ); document.write( "\n" ); document.write( "Total number of ways = 4*8 = 32 \n" ); document.write( " \n" ); document.write( " |