6.1 Simulation

Simulation Why do we do simulations? Observation may be too slow, costly, or impractical The answer may not be obvious from using theoretical probabilities Can get reasonable accurate results using computers

Steps for a Simulation 1. State your assumptions —what are you assuming about the real-life situations? (Usually about the probability in the problem) 2. Model —describe how you will assign the random numbers 3. Repetition —run the simulation a large # of times 4. Conclusion —give an estimated probability

Example Assumptions: Model: Simulation – 30 repetitions: (Look for duplicate months) Estimated Probabilty of atleast two people having same birth month:

Example – Partner Up Assumptions: Model: Simulations- 10 repetitions: Probability Shorthairs wins Series:

Homework Pg 398 #4 Pg 402 #10 & 11