document.write( "Question 889622: A coin is tossed four times. Show the sample space and find the probability of getting a simple event of three heads and one tails.\r
\n" ); document.write( "\n" ); document.write( "I know the sample space is {heads,tails}, but I am confused for the probability portion of the question. \n" ); document.write( "

Algebra.Com's Answer #538288 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "The sample space is not just {heads,tails}.  That would be the sample\r\n" );
document.write( "space if you were only going to toss the coin one time. Here is the \r\n" );
document.write( "sample space:   \r\n" );
document.write( "\r\n" );
document.write( "{HHHH,HHHT,HHTH,HHTT,HTHH,HTHT,HTTH,HTTT,THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT}\r\n" );
document.write( "\r\n" );
document.write( "I've colored red all the cases that have three heads and 1 tail.\r\n" );
document.write( "\r\n" );
document.write( "That's 4 out of 16, so the probability is  which reduces to \r\n" );
document.write( "\r\n" );
document.write( "So th of the time on the average you'll get three heads and 1 tail.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );