Archie and Veronica are two salespeople at a car dealership. Daily, their boss decides to

give a bonus to whoever sells the first car of the day. Assume one of the two will eventually sell a

car on any given day. They will alternate serving customers (thus, only one of them is serving a

customer at any given time). Suppose there is a 18% chance Archie makes a sale to any random

customer, and there is a 25% chance Veronica makes a sale to any random customer, and all

attempts to sell a car to any customer are independent from one another. At the start of the day

they flip a fair coin to decide who gets the first customer. What is the probability Archie gets the

daily bonus?

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