Question 1094844
<pre>
Here is a deck of cards:

<font color = "red">
 
A&#9829;   2&#9829;   3&#9829;   4&#9829;   5&#9829;   6&#9829;   7&#9829;   8&#9829;  9&#9829;  10&#9829;  J&#9829;  Q&#9829;  K&#9829; 
A&#9830;   2&#9830;   3&#9830;   4&#9830;   5&#9830;   6&#9830;   7&#9830;   8&#9830;  9&#9830;  10&#9830;  J&#9830;  Q&#9830;  K&#9830;</font>
A&#9824;   2&#9824;   3&#9824;   4&#9824;   5&#9824;   6&#9824;   7&#9824;   8&#9824;  9&#9824;  10&#9824;  J&#9824;  Q&#9824;  K&#9824;  
A&#9827;   2&#9827;   3&#9827;   4&#9827;   5&#9827;   6&#9827;   7&#9827;   8&#9827;  9&#9827;  10&#9827;  J&#9827;  Q&#9827;  K&#9827; 

There are:

13 hearts
13 diamonds
13 spades
13 clubs
-----------
52 cards total

Now 13 times out of 52 we will draw a spade first.  That's a probability
of 13/52, which reduces to 1/4.  

Now when we have drawn a spade first, there are only 51 cards left in the deck.

13 hearts
13 diamonds
12 spades
13 clubs
-----------
51 cards total

Now 13 times out of 51 we will draw a diamond second.  That's a probability
of 13/51, which doesn't reduce.  So the probability of drawing a spade,
and then a diamond is {{{(1/4)(13/51)}}}

Now when we have drawn a spade first, and a diamond second, there are only 
50 cards left in the deck.

13 hearts
12 diamonds
12 spades
13 clubs
-----------
50 cards total

Now 13 times out of 50 we will draw a heart third.  That's a probability
of 13/50, which doesn't reduce.  So the probability of drawing a spade,
then a diamond, and then a heart is {{{(1/4)(13/51)(13/50)}}} 

Now when we have drawn a spade first, and a diamond second, and a heart
third, there are only 49 cards left in the deck.

12 hearts
12 diamonds
12 spades
13 clubs
-----------
49 cards total

Now 12 times out of 49 we will draw a spade fourth.  That's a probability
of 12/49, which doesn't reduce.  So the probability of drawing a spade,
then a diamond, then a heart, and then a spade is {{{(1/4)(13/51)(13/50)(12/49)}}} 

Now when we have drawn a spade first, and a diamond second, a heart
third, and a spade fourth, there are only 48 cards left in the deck.

12 hearts
12 diamonds
11 spades
13 clubs
-----------
48 cards total

Now 13 times out of 48 we will draw a club fifth.  That's a probability
of 13/48, which doesn't reduce.  So the probability of drawing a spade,
then a diamond, then a heart, then a spade, and finally, a club is 

{{{(1/4)(13/51)(13/50)(12/49)(13/48)}}} 

Multiplying all the numerators and then all the denominators,
That works out to be {{{26364/23990400}}} which upon dividing
top and bottom by 12 reduces to {{{2197/1999200}}}, and the decimal
approximation is 

{{{"0.001098939575830332132853141256502601040416166466586634653..."}}}

Round it however you were told.

Edwin</pre>