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Let’s say that you’re drawing \(N\) cards (without replacement) from a standard 52 card poker deck. Each card is unique and part of 4 different suits and 13 different ranks.

Compute the probability that you will get a pair (two cards of the same rank) from a hand of \(N\) cards.

When drawing three cards from a standard 52 card deck without replacement, what is the probability that all cards have different ranks?

When drawing three cards from a standard 52 card deck without replacement, what is the probability that all cards have different ranks?

Poker Pair

Write a function to get a sample from a Bernoulli trial.

Input:

<pre tabindex="0" class="chroma"><code>def bernoulli_sample(p):
 pass
</code></pre>

Output:

<code>1</code> with probability <code>p</code> or <code>0</code> with probability <code>1-p</code>.

Write a function to get a sample from a Bernoulli trial.

Bernoulli Sample

Let’s say we have a table with an <code>id</code> and <code>name</code> fields. The table holds over 100 million rows and we want to sample a random row in the table without throttling the database.

Write a query to randomly sample a row from this table.

Input:

<code>big_table</code> table

<table>
<thead>
<tr>
<th>Columns</th>
<th>Type</th>
</tr>
</thead>

<tbody>
<tr>
<td><code>id</code></td>
<td>INTEGER</td>
</tr>

<tr>
<td><code>name</code></td>
<td>VARCHAR</td>
</tr>
</tbody>
</table>

Write a query to randomly sample a row from a big table.

Question	Topic	Difficulty	Ask Chance
Poker Pair	Probability	Hard	Very High
Bernoulli Sample	Probability	Hard	High
Random SQL Sample	SQL	Medium	High

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