Question 1180096
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The post is worded in a  "bla-bla-bla"  style,  so I will start from reformulating it in a way as it should be pronounced.


<pre>
    Each day the probability that it will rain on a tropical island is  {{{7/8}}}. 
    What is the probability that it will rain exactly 6 out of eight days on the tropical island in question?
</pre>


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>Solution</U>



<pre>
It is the binomial type probability distribution.


The number of trial n= 8; the probability of the success trial is  {{{7/8}}},  and the number of success trial k = 6. 


    P = {{{C[8]^6*(7/8)^6*(1-7/8)^(8-6)}}} = {{{((8*7)/(1*2))*(7/8)^6*(1/8)^2}}} = 0.1963 (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> 

in this site.



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