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)\"\" \"About 
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)
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\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 \"32=2%5E5\".
\n" ); document.write( "5 heads - \"1%2F32\"
\n" ); document.write( "4 heads - \"5%2F32\"
\n" ); document.write( "3 heads - \"10%2F32\"
\n" ); document.write( "2 heads - \"10%2F32\"
\n" ); document.write( "1 head - \"5%2F32\"
\n" ); document.write( "0 heads - \"1%2F32\"
\n" ); document.write( "\"1%2B5%2B10%2B10%2B5%2B1=32\"
\n" ); document.write( "These are also numbers in the 6th row of Pascal's triangle of binomial coefficients.
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