# Physics307L:Schedule/Week 12 agenda/PDFs

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## Contents

### Lots of algorithms available for generating random numbers from 0 to 1 with uniform probability

### General case

#### Assume you have a random number r from 0 to 1. To transform to x, with PDF given by P(x):

#### Numerically solving for x gives random number with appropriate distribution.

### Specific case, time for random event to occur (i.e. radioactive decay)

#### Solving above,

- <math>\ t_i = -\tau \ln r_i