document.write( "Question 149445: A fair coin is tossed 5 times. What is the probability of obtaining exactly 3 heads. Pick from the following\r
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Algebra.Com's Answer #109721 by Fombitz(32388)![]() ![]() You can put this solution on YOUR website! The answer is 10/32=5/16. \n" ); document.write( "Here's how. \n" ); document.write( "At each step the choice is either heads or tails. \n" ); document.write( "First toss, H or T. \n" ); document.write( "Second toss, HH HT TH TT (example:first toss was H, second could be H or T and so on) \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "continue this way until you make a table with all possible values beginning with HHHHH and ending with TTTTT. \n" ); document.write( "H H H H H \n" ); document.write( "H H H H T \n" ); document.write( "H H H T H \n" ); document.write( "H H H T T \n" ); document.write( "H H T H H \n" ); document.write( "H H T H T \n" ); document.write( "H H T T H \n" ); document.write( "H H T T T \n" ); document.write( "H T H H H \n" ); document.write( "H T H H T \n" ); document.write( "H T H T H \n" ); document.write( "H T H T T \n" ); document.write( "H T T H H \n" ); document.write( "H T T H T \n" ); document.write( "H T T T H \n" ); document.write( "H T T T T \n" ); document.write( "T H H H H \n" ); document.write( "T H H H T \n" ); document.write( "T H H T H \n" ); document.write( "T H H T T \n" ); document.write( "T H T H H \n" ); document.write( "T H T H T \n" ); document.write( "T H T T H \n" ); document.write( "T H T T T \n" ); document.write( "T T H H H \n" ); document.write( "T T H H T \n" ); document.write( "T T H T H \n" ); document.write( "T T H T T \n" ); document.write( "T T T H H \n" ); document.write( "T T T H T \n" ); document.write( "T T T T H \n" ); document.write( "T T T T T \n" ); document.write( "T T T T T \n" ); document.write( "T T T T T \n" ); document.write( "T T T T T\r \n" ); document.write( "\n" ); document.write( "You will have 32 possible outcomes \n" ); document.write( "5 heads - \n" ); document.write( "4 heads - \n" ); document.write( "3 heads - \n" ); document.write( "2 heads - \n" ); document.write( "1 head - \n" ); document.write( "0 heads - \n" ); document.write( " \n" ); document.write( "These are also numbers in the 6th row of Pascal's triangle of binomial coefficients. \n" ); document.write( " |