document.write( "Question 776987: a box contains 8 letters, shown as CRASHING. What is the probability of the outcome CIGAR in that order if 5 letters are drawn one by one (a) with replacement? (b) without replacement? \n" ); document.write( "
Algebra.Com's Answer #473848 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
a box contains 8 letters, shown as CRASHING. What is the probability of the outcome CIGAR in that order if 5 letters are drawn one by one
\n" ); document.write( "(a) with replacement?
\n" ); document.write( "P(CIGAR with replacements) = (1/8)^5 = 0.0000305... \r
\n" ); document.write( "\n" ); document.write( "-----\r
\n" ); document.write( "\n" ); document.write( " (b) without replacement?
\n" ); document.write( "# of ways to pick that sequence of 5 letters: 1
\n" ); document.write( "# of possible outcomes:: 8P5 = 8*7*6*5*4 = 6720
\n" ); document.write( "P(select CIGAR) = 1/6720 = 0.0001488\r
\n" ); document.write( "\n" ); document.write( "--------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==============
\n" ); document.write( "
\n" );