document.write( "Question 1156252: In a large crowd, there are three times as many men as women. Three people are choosen at random. Assuming that there are so many people that choosing three has a negligible effect on the proportion of men to women, find the probability that they are
\n" ); document.write( "a. all men b.2woman and 1man.
\n" ); document.write( " Assist in explaining this \"Assuming that there are so many people that choosing three has a negligible effect on the proportion of men to women\", please.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #778981 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "(1)  Since there are three times as many man as women, \r\n" );
document.write( "\r\n" );
document.write( "         - the probability that the randomly chosen person is a man is  \"3%2F4\",  and\r\n" );
document.write( "\r\n" );
document.write( "         - the probability that the randomly chosen person is a woman is  \"1%2F4\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     THEREFORE, the probability that three randomly selected persons all are the men is  P = \"%283%2F4%29%5E3\" = \"0.75%5E3\" = 0.421875.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(2)  the probability that three randomly selected persons are (2 women and 1 men) is  P = \"C%5B3%5D%5E2%2A%283%2F4%29%5E1%2A%281%2F4%29%5E2\" = \"3%2A%283%2F4%29%5E1%2A%281%2F4%29%5E2\" = 0.14.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "-------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The calculated numbers in the post by @Boreal are incorrect, so IGNORE it, for your safety.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "He misread the problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "He is so hurry that has no time to read the problem properly.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );