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The flatural Grocer grocery store is having a sales promotion game. The cashiers give away one of the letters V, N, E, G, and A

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The flatural Grocer grocery store is having a sales promotion game. The cashiers give away one of the letters V, N, E, G, and A for each purchase. If a customer collects all five (spelling VEGAN) the customer gets $15.00 worth of groceries free. What is the expected number of trips to the store a customer needs to make in order to get a complete set? Assume the different letters are given away randomly

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