document.write( "Question 997484: If three coins are tossed, what is the probability that I will get two heads and a tail?\r
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document.write( "We just recently started probability and the whole \"at least two heads\" i really throwing me off. \n" );
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Algebra.Com's Answer #615542 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the probability you will get 2 heads and a tail is 3 out of 8 = 3/8 = .375\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let's look at the total possibilities.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "H H H \n" ); document.write( "H H T \n" ); document.write( "H T H \n" ); document.write( "T H H \n" ); document.write( "H T T \n" ); document.write( "T H T \n" ); document.write( "T T H \n" ); document.write( "T T T \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "out of these possibilities, 3 of them contain EXACTLY two heads and 1 tail. \n" ); document.write( "those are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "H H H \n" ); document.write( "H H T ***** \n" ); document.write( "H T H ***** \n" ); document.write( "T H H ***** \n" ); document.write( "H T T \n" ); document.write( "T H T \n" ); document.write( "T T H \n" ); document.write( "T T T \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probability that you will get EXACTLY 2 heads and a tail is therefore 3/8 = .375.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "out of these possibilities, 4 of them contain AT LEAST 2 heads. \n" ); document.write( "those are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "H H H ***** \n" ); document.write( "H H T ***** \n" ); document.write( "H T H ***** \n" ); document.write( "T H H ***** \n" ); document.write( "H T T \n" ); document.write( "T H T \n" ); document.write( "T T H \n" ); document.write( "T T T \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that probability is the sum of getting EXACTLY 2 heads and a tail, plus the probability of getting EXACTLY 3 heads.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that probability is therefore equal to 3/8 + 1/8 = 4/8 = 1/2. = .5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |