Question 1192388
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a dice is rolled 5 times what is the probability that exactly 2 fours appears?
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<pre>
Binomial distribution n = 5 trials;  k = 2 successful trials;  p = {{{1/6}}}.


    P = {{{C[5]^2*(1/6)^2*(5/6)^3}}} = {{{10*(1/6)^2*(5/6)^3}}} = 0.160751   (rounded).   <U>ANSWER</U>
</pre>

Solved.


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To see many other similar &nbsp;(and different) &nbsp;solved problems, &nbsp;look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> 

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