Question 1204064
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It is a typical binomial distribution probability problem.


The number of trials is n= 9.
The probability of each individual trial success is p= 0.4.
The number of successful trials is 2 of 9.


Use the standard formula for probability

P = {{{C[9]^2*p^2*(1-p)^(9-2)}}} = {{{36*0.4^2*0.6^7}}} = 0.161243  (rounded).    <U>ANSWER</U>
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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> 

in this site.


Learn the entire subject from there.



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In this problem, the most unusual feature is the instruction to round to 6 decimal places.


I noticed that this instruction is copied in all your posts.


Let me tell you the truth: such instruction does not look reasonable.

It makes it clear that the creator copied it from problem to problem 

without thinking, and it does not decorate this Math composer.