Question 314484
The letters of the word Mississippi are placed in a hat. What is the probability that the first two letters drawn are both "i" if the first letter drawn is not replaced?
<pre><b>
There are 11 letters in the hat to begin with, 4 of which are i's.

{{{4/11}}}ths of the time the first letter drawn will be an "i".

Of those {{{4/11}}}ths of the time when the first letter is an "i",

{{{3/10}}}ths of those times, the second letter will also be an "i",

because ther will be only 10 letters of which only 3 are i's.  So

{{{3/10}}}ths of {{{4/11}}}ths is {{{3/10}}}{{{"×"}}}{{{4/11}}}{{{"="}}}{{{12/110}}}ths of the time the first two will be "i"'s.

Edwin</pre>