Question 1167333
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<pre>

The probability is the ratio of the number of all possible pairs chosen from 15 girls 
to the number of all possible pairs chosen from all 15+10 = 25 students.


The numerator is  {{{C[15]^2}}} = {{{(15*14)/2}}} = 15*7 = 105.


The denominator is  {{{C[25]^2}}} = {{{(25*24)/2}}} = 25*12 = 300.


The ratio, i.e. the probability under the problem's question, is  P = {{{105/300}}} = {{{35/100}}} = {{{7/20}}} = 0.35 = 35%.     <U>ANSWER</U>
</pre>

Solved.


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To see many similar problems solved, see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Elementary-Probability-problems-related-to-Combinations.lesson>Elementary Probability problems related to combinations</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic &nbsp;"<U>Solved problems on Probability</U>". 



Save the link to this textbook together with its description


Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson


into your archive and use when it is needed.


Consider these lessons as your textbook,  &nbsp;handbook,  &nbsp;a Solutions Manual, &nbsp;tutorials and &nbsp;(free of charge)  &nbsp;home teacher.



Happy learning (!)