document.write( "Question 658812: In a group of 15 boys, there are 6 scouts. In how many ways can 8 boys be selected, so as to include \r
\n" ); document.write( "\n" ); document.write( "(i) exactly 3 scouts
\n" ); document.write( "(ii) at least 3 scouts
\n" ); document.write( "(iii) at the most 3 scouts
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Algebra.Com's Answer #410526 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Example of BIONOMIAL PROBABILITY DISTRIBUTION
\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p(scout) = 2/5 & q = 3/5 and n = 8
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"
\n" ); document.write( "8 boys be selected, so as to include
\n" ); document.write( "P(x = 3) = 8C3(.4)^3(.6)^5
\n" ); document.write( "P(x ≥ 3) = 1- P(x≤ 2)= 1 - P(x=0) + P(x=1)+ P(x=2)
\n" ); document.write( "P(x ≤ 3) = P(x=0) + P(x=1)+ P(x=2)+ P(x=3) \n" ); document.write( "
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