document.write( "Question 261877: Assume that a procedure yields a binomial distribution with a trail repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
\n" ); document.write( "n = 6, x = 3, p =1/6
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Algebra.Com's Answer #192952 by drk(1908)\"\" \"About 
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If we succeed 3 times, we fail 3 times.
\n" ); document.write( "success + fail = total
\n" ); document.write( "x + fail = n
\n" ); document.write( "p(s) = 1/6
\n" ); document.write( "p(f) = 5/6
\n" ); document.write( "---
\n" ); document.write( "we now get
\n" ); document.write( "(6c3)*(1/6)^3*(5/6)^3 ~ 0.05358
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