Probability Basics
The box of dice:
- 99% fair, 1% loaded (50% at six)
- randomly pick a die and roll
- If we get 3 six in a row, what’s the chance that the die is loaded?
- If we get 5 six in a row, what’s
the chance that the die is loaded?
Am I dying ?:
- There is a rare deadly disease is present in the population at 1 in 100,000
- A test for this disease will report positive for 99.5% of people with disease, and negative 99.9% of time for those without.
- One day, I took this test, and got a Postivite result. Am I dying?
Is there any gender bias?
| Admitted | Rejected | Total | Percentage | |
| Men | 209 | 95 | 304 | 68.8% |
| Women | 143 | 110 | 253 | 56.5% |
Unfair?
Let's find out which school is more unfair!!!
| Law School | ||||
| Admitted | Rejected | Total | Percentage | |
| Men | 8 | 45 | 53 | 15.1% |
| Women | 51 | 101 | 152 | 33.6% |
| Business School | ||||
| Admitted | Rejected | Total | Percentage | |
| Men | 201 | 50 | 251 | 80.1% |
| Women | 92 | 9 | 101 | 91.1% |