At a car wash, customers can choose the type of wash and whether to use the interior vacuum. Customers are equally likely to choose each type if wash and whether to use the vacuum, Use a simulation to find the experimental probability that the next customer purchases a deluxe wash and no interior vacuum. Describe your simulation.

Question

Mathematics

Kolby Haynes

29 April, 18:56

At a car wash, customers can choose the type of wash and whether to use the interior vacuum. Customers are equally likely to choose each type if wash and whether to use the vacuum, Use a simulation to find the experimental probability that the next customer purchases a deluxe wash and no interior vacuum. Describe your simulation.

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Mollie Brewer · Answer 1

There are 4 possible outcomes based on 2 types of wash (deluxe wash & other wash) and 2 vacuum uses (with vacuum and no vacuum). Since customers are equally likely to choose between these, we can run a uniform distribution from 1-4, where each represents one outcome. For example, 1 = deluxe+vacuum, 2=deluxe+no vacuum, 3=other wash+vacuum, 4=other wash+no vacuum. Then after running a large number of simulations (ex. 1000), count the number of the desired result (which is the number 2), and divide by the total number. This will give the probability.