document.write( "Question 1095645: A multiple choice quiz has 5 questions. Each question has 4 choices. What is the probability of randomly guessing on all questions and getting them all correct? \n" ); document.write( "

Algebra.Com's Answer #710141 by rothauserc(4718) $\"\"$ $\"About$

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We use the binomial probaility distribution to answer this problem
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\n" ); document.write( "Probability(P) (k successes out of n trials) = nCk * p^k * (1-p)^(n-k) where p is probability of a success and nCk - n! / (k! * (n-k)!)
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\n" ); document.write( "p = 1/4 = 0.25
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\n" ); document.write( "P (5 successes out of 5 trials) = (5! / (5! * (5-5)!) * (0.25)^5 * (1-0.25)^(5-5) =
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\n" ); document.write( "1 * (0.25)^5 * 1 = 0.000976562 approximately 0.001
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