Question 895526
<pre>
You must have meant THEORETICAL probability, not EXPERIMENTAL probability.
An EXPERIMENTAL probability is one that you obtain youself by actually drawing
a card 70 times, each time putting it back and shuffling the deck, You keep a
count of how many times you succeeded in drawing a 2, 3, 4, or 5, and then
you divide by 70.

The THEORETICAL probability is calculated this way.

Here are the 52 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;

Here are the only "successful" cards.  There are only 16 of them:
<font color = "red">
     2&#9829;   3&#9829;   4&#9829;   5&#9829;   
     2&#9830;   3&#9830;   4&#9830;   5&#9830;</font>
     2&#9824;   3&#9824;   4&#9824;   5&#9824;   
     2&#9827;   3&#9827;   4&#9827;   5&#9827;

That's a probability of 16 out of 52, which is the fraction {{{16/52}}}
which reduces of {{{4/13}}}, which is approximately 31% of the time.

That's the theoretical, not experimental, probability.

Answer: {{{4/13}}}

If you actually did the experiment and found the experimental probability,
it should be close to 31%.

Edwin</pre>