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Adam and Beth are two salespeople at a car dealership. Their boss decides to give a...

Adam and Beth are two salespeople at a car dealership. Their boss decides to give a bonus to whoever sells the next car. They will alternate serving customers. Thus, only one of them is serving a customer at any given time. Suppose there is a 20% chance Adam makes a sale, 30% chance Beth makes a sale, and all customers are independent from one another. If Adam gets the first customer, what is the probability Beth gets the bonus?

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TOPIC:Events and probability.

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