document.write( "Question 1162571: three yam tubers are chosen at random from 15 tubers of which 5 are spoilt. find the probability that;
\n" ); document.write( "(a) none is spoilt
\n" ); document.write( "(b) all are spoilt
\n" ); document.write( "(c) exactly one is spoilt
\n" ); document.write( "(d) at least one is spoilt\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #786407 by ikleyn(53751)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "(a)  It means that you chose all 3 yam tubers from the set of 15-5 = 10 yam tubers that are not spoilt.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, the probability (a) is  P = \"%2810%2F15%29%2A%289%2F14%29%2A%288%2F13%29\" = \"%282%2F3%29%2A%289%2F14%29%2A%288%2F13%29\" = \"%283%2F7%29%2A%288%2F13%29\" = \"24%2F91\" = 0.2637.         ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  It means that you chose all 3 yam tubers from the set of 5 yam tubers that are spoilt.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, the probability (b) is  P = \"%285%2F15%29%2A%284%2F14%29%2A%283%2F13%29\" = \"%281%2F3%29%2A%282%2F7%29%2A%283%2F13%29\" = \"%282%2F7%29%2A%281%2F13%29\" = \"2%2F91\" = 0.0220.      ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(c)  In this case, the probability is  P = \"3%2A%285%2F15%29%2A%2810%2F14%29%2A%289%2F13%29\" = \"%285%2F7%29%2A%289%2F13%29\" = \"45%2F91\" 0.4945.      ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(d)  In this case, the probability is the COMPLEMENT to case (a)  P = 1 - 0.2637 = 0.7363.      ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );