document.write( "Question 257929: 2) The type of people watching a film at a cinema is shown in the table.\r
\n" ); document.write( "\n" ); document.write( "----------Male---Female\r
\n" ); document.write( "\n" ); document.write( "Adult-----21------14\r
\n" ); document.write( "\n" ); document.write( "Child-----10------5\r
\n" ); document.write( "\n" ); document.write( "Two of these people are chosen at random to receive free cinema tickets.\r
\n" ); document.write( "\n" ); document.write( "Calculate the probability that two chosen people are adults of the same gender.
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Algebra.Com's Answer #189790 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The type of people watching a film at a cinema is shown in the table.
\n" ); document.write( "----------Male---Female---Total
\n" ); document.write( "Adult-----21------14--------35
\n" ); document.write( "Child-----10------5---------15
\n" ); document.write( "Total-----31------19--------50\r
\n" ); document.write( "\n" ); document.write( "Two of these people are chosen at random to receive free cinema tickets.
\n" ); document.write( "Calculate the probability that two chosen people are adults of the same gender.
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\n" ); document.write( "P[(2male or 2female)|adult) = P(2male|adult) + P(2female|adult) = [21C2+14C2]/35C2
\n" ); document.write( "= [210 + 91]/[595] = 301/595 = 0.51
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H
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