Algebra.Com's Answer #817536 by ikleyn(52781)  You can put this solution on YOUR website! . \n" );
document.write( "Determine the probabilities of having \n" );
document.write( "(a) at least 1 girl \n" );
document.write( "(b) at least 1 girl and 1 boy in a family of 4 children, assuming equal probability of male and female birth \n" );
document.write( "~~~~~~~~~~~~~~~\r \n" );
document.write( " \n" );
document.write( " \n" );
document.write( "\n" );
document.write( "\r\n" );
document.write( "(a) With 4 children in a family, there are, in total, = 16 possible different configurations of boys/girls.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " Of them, there is only one \"unfavorable\" configuration, when all the children are boys.\r\n" );
document.write( "\r\n" );
document.write( " All other 15 configurations have at least one girl.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " So, there are 16 total configurations and of them, there are 15 favorable, having at least one girl.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " THEREFORE, the probability to have at least one girl in a family with 4 children \r\n" );
document.write( "\r\n" );
document.write( " is . ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b) Again, there are 16 possible different configurations, in all.\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( " Of them, \"unfavorable\" are only 2 (two), having all 4 boys OR having all 4 girls.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " The rest 16-2 = 14 configurations are \"favorable\" : they have at least one boy and at least one girl.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( " THEREFORE, the probability to have at least one girl AND at least one boy in a family with 4 children \r\n" );
document.write( "\r\n" );
document.write( " is = . ANSWER\r\n" );
document.write( " \r \n" );
document.write( "\n" );
document.write( "Solved and thoroughly explained.\r \n" );
document.write( " \n" );
document.write( " \n" );
document.write( "\n" );
document.write( " \n" );
document.write( " |