# ASSIGNMENT 2

## Q1. 25%, Mark Six Simulation

Mark Six introduction
The Mark Six Lottery is a 6 out of 49 lotto game which is conducted by HKJC Lotteries Limited, a subsidiary of The Hong Kong Jockey Club.

After each draw if your entry satisfies some situations, the prize will be paid.
Mark Six Prize Qualification

https://bet.hkjc.com/marksix/userinfo.aspx?lang=en&file=prize_entitlement.asp

| 1st Prize | Pick all the 6 Drawn Numbers               | Prize is determined by the total number of winning unit investments in the First Division Prize. The minimum First Division Prize Fund is set at HK$8 million |
| --------- | ------------------------------------------ | ------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| 2nd Prize | Pick 5 Drawn Numbers plus the Extra Number | Prize is determined by the total number of winning unit investments in the Second Division Prize                                                              |
| 3rd Prize | Pick 5 Drawn Numbers                       | Prize is determined by the total number of winning unit investments in the Third Division Prize                                                               |
| 4th Prize | Pick 4 Drawn Numbers plus the Extra Number | A fixed prize of $9,600                                                                                                                                       |
| 5th Prize | Pick 4 Drawn Numbers                       | A fixed prize of $640                                                                                                                                         |
| 6th Prize | Pick 3 Drawn Numbers plus the Extra Number | A fixed prize of $320                                                                                                                                         |
| 7th Prize | Pick 3 Drawn Numbers                       | A fixed prize of $40                                                                                                                                          |

### For simplify the question, the prizes are assumed as following:

![](./_img/table1.png)
![](./_img/table2.png)

Task to do
a. Write a function for inputting the list of your entry numbers, and the tuple with list of the draw numbers and the special number,
then outputting the unit prize.

Example:

```
Numbers of your entry: [14, 21, 25, 34, 37, 41]
Numbers of draw: ([21, 25, 34, 37, 41, 46], 14)
Unit prize of your entry: 885990 (2nd prize)
```

Please check in the function: ensure the input formats are as same as the example.

1. `np.random.choice`
1. `np.arange`
1. `np.random.seed(21800000)`

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