Question 767505
Two coins are randomly selected from a pocket containing two quarters, one dime, and one nickel. A random variable  is defined as the total value of the two coins selected. Find the expected value (in cents).
<pre>
Q1 = first quarter
Q2 = second quarter
 D = dime
 N = nickel

 Selection   x=Value   p=Probability     x·p
---------------------------------------------------------------
   Q1,Q2       50¢          {{{1/6}}}          {{{8&1/3}}}¢ = {{{8&2/6}}}¢
   Q1,D        35¢          {{{1/6}}}          {{{5&5/6}}}¢ = {{{5&5/6}}}¢
   Q1,N        30¢          {{{1/6}}}          {{{5    }}} ¢ = {{{5    }}} ¢
   Q2,D        35¢          {{{1/6}}}          {{{5&5/6}}}¢ = {{{5&5/6}}}¢
   Q2,N        30¢          {{{1/6}}}          {{{5    }}} ¢ = {{{5    }}} ¢
    D,N        15¢          {{{1/6}}}          {{{2&1/2}}}¢ = {{{2&3/6}}}¢
--------------------------------------------------------------- 
                               E(x) = &#8721;x·p = {{{30&15/6}}}¢ = {{{30+2&3/6}}}¢ = {{{32&1/2}}}¢ 

Edwin</pre>