document.write( "Question 1183431: Three yam tubers are chosen at random from 15 tubers of which 5 are spoilt. Find the probability that,of the three chosen tubers:
\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. \n" ); document.write( "

Algebra.Com's Answer #813767 by ikleyn(53751) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Three yam tubers are chosen at random from 15 tubers of which 5 are spoilt. Find the probability that, of the three chosen tubers:
\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.
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "(A)  In part (A), you chose, actually, 3 tubers from 10 tubers that are not spoilt, among the total of 15 tubers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, you can use any of two formulas to find the probability\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         P =  =  =  = 0.2637  (rounded),\r\n" );
document.write( "\r\n" );
document.write( "     or\r\n" );
document.write( "\r\n" );
document.write( "         P =  =  =  = 0.2637  (same as above).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(B)  In part (B), you select, actually, 3 tubers from 5 spoilt tubers, among the total 15 tubers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, you can use any of two formulas to find the probability\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         P =  =  =  = 0.0219  (rounded),\r\n" );
document.write( "\r\n" );
document.write( "     or\r\n" );
document.write( "\r\n" );
document.write( "         P =  =  =  = 0.0219  (the same value).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(C)  \"Exactly one is spoilt\" means one is spoilt of the 3 selected among the total 15, and 2 are not.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, you can use this formula to find the probability\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         P =  =  =  = 0.4945.    (rounded)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(D)  It is the complement probability to the value found in (A)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         P = 1 - 0.2637 = 0.7363   (rounded).\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved. // All question are answered.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );