<PRE><B>Question 1183544</B>
.
Urn 1 contains 3 red balls and 2 black balls. Urn 2 contains 2 red balls and 2 black balls. 
Urn 3 contains 6 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, 
find the probability that it will be red.
~~~~~~~~~~~~~~


&lt;pre&gt;
The probability is  {{{1/3}}}  for choosing urn #1.

The probability is  {{{3/5}}}  to select red ball from urn #1.



The probability is  {{{1/3}}}  for choosing urn #2.

The probability is  {{{2/4}}} = {{{1/2}}}  to select red ball from urn #2.



The probability is  {{{1/3}}}  for choosing urn #3.

The probability is  {{{6/8}}} = {{{3/4}}}  to select red ball from urn #3.



The probability under the problem&#39;s question is


    P = {{{(1/3)*(3/5) + (1/3)*(1/2) + (1/3)*(3/4)}}} = {{{1/5 + 1/6 + 1/4}}} = {{{12/60 + 10/60 + 15/60}}} = {{{(12+10+15)/60}}} = {{{37/60}}}.    &lt;U&gt;ANSWER&lt;/U&gt;
&lt;/pre&gt;

Solved and carefully explained.


--------------------


For simple and simplest problems of Elementary Probability theory see the lessons

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Simple-and-simplest-probability-problems.lesson&gt;Simple and simplest probability problems&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-probability-problems-using-complementary-probability.lesson&gt;Solving probability problems using complementary probability&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Elementary-Probability-problems-related-to-Combinations.lesson&gt;Elementary Probability problems related to combinations&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/A-True-False-test.lesson&gt;A True/False test&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/A-multiple-choice-answers-test.lesson&gt;A multiple choice answers test&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-probability-problems-from-the-archive.lesson&gt;Typical probability problems from the archive&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Experimental-probability-problems.lesson&gt;Experimental probability problems&lt;/A&gt; 

in this site.


Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-II - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lessons are the part of this online textbook under the topic &amp;nbsp;&quot;&lt;U&gt;Solved problems on Probability&lt;/U&gt;&quot;. 



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,  &amp;nbsp;handbook,  &amp;nbsp;a Solutions Manual, &amp;nbsp;tutorials and &amp;nbsp;(free of charge)  &amp;nbsp;home teacher.



Happy learning (!)



</PRE>