---
# System prepended metadata

title: 1. Secretary problem by simulation

---

# 1. Secretary problem by simulation

## Problem Description:

We will see N=100 job candidates whose levels are random between 0 and 10. We see the candidates one-by-one, and after seeing each candidate, we have to make a decision on the spot whether to hire this candidate or not. This decision is irrevocable and we cannot change our mind later! We want to _maximize the probability to hire the best out of the N candidates_.

To do so, we will implement the following policy:

* Reject the first R candidates.
* Then hire the first one we see that is better than the best among the first R.

Write a program that decides the optimal threshold R using simulations.


```python=
    
```



# 2. Find Number Pi

## Problem description

*Task:* Estimate number PI using only a random generator. 

```python=

```