Question 1139174
.
<pre>
In all, there are  10 + 5 + 1 = 16 coins.


The probability to randomly select dime first is  {{{10/16}}}.


Then only 16-1 = 15 coins remained.


The probability to randomly select penny is now  {{{1/15}}}.


The probability to select a dime first and then the penny is  {{{(10/16)*(1/15)}}} = {{{1/24}}} = 0.041667 = 4.1667%.    <U>ANSWER</U>
</pre>

Solved.