document.write( "Question 981070: If a drawer has 4 red socks and 4 blue socks\r
\n" );
document.write( "\n" );
document.write( "a) If two are drawn what is the probability of a match?\r
\n" );
document.write( "\n" );
document.write( "b) If 3 are drawn what is the probability of a match?\r
\n" );
document.write( "\n" );
document.write( "c) What is the probability of having all one color after 4 draws?\r
\n" );
document.write( "\n" );
document.write( "This is what I have:\r
\n" );
document.write( "\n" );
document.write( "A) P (Red) on first draw = 4/8
\n" );
document.write( "P (Red) on second draw = 3/7
\n" );
document.write( "4/8 * 3/7 = 12/56
\n" );
document.write( "P (Blue) is the same so
\n" );
document.write( "12/56 + 12/56= 3/7
\n" );
document.write( "So answer = 3/7\r
\n" );
document.write( "\n" );
document.write( "B) 100% chance.\r
\n" );
document.write( "\n" );
document.write( "c) 4/8 +3/7 + 2/6 +1/5 ?\r
\n" );
document.write( "\n" );
document.write( "Any help is appreciated!
\n" );
document.write( "C) 4/8 + 3/7 + 2/6 + 1/5 ? \n" );
document.write( "
Algebra.Com's Answer #602127 by Boreal(15235) You can put this solution on YOUR website! There are two ways to have a match with 2 drawn: \n" ); document.write( "Probability both red = (4/8)*(3/7)=(12/56), as you wrote. \n" ); document.write( "And same for blue, so sum is (24/56) as you wrote. \r \n" ); document.write( "\n" ); document.write( "yes, 100% probability if 3 are drawn.\r \n" ); document.write( "\n" ); document.write( "The 4 draws can be \n" ); document.write( "RRRR (24/1680)=(1/70) \n" ); document.write( "RRRB \n" ); document.write( "RRBR \n" ); document.write( "RRBB \n" ); document.write( "RBRR \n" ); document.write( "RBRB \n" ); document.write( "RBBR \n" ); document.write( "RBBB \n" ); document.write( "BRRR \n" ); document.write( "BRRB \n" ); document.write( "BRBR \n" ); document.write( "BRBB \n" ); document.write( "BBRR \n" ); document.write( "BBRB \n" ); document.write( "BBBR \n" ); document.write( "BBBB Same (1/70) probability \n" ); document.write( "So the answer is their sum, or (2/70). \n" ); document.write( " |