SOLUTION: A door-to-door salesman expects to make a sale 25% of the time when starting the day. But making a sale increases his enthusiasm so much that the probability of a sale to the next

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Question 1125679: A door-to-door salesman expects to make a sale 25% of the time when starting the day. But making a sale increases his enthusiasm so much that the probability of a sale to the next customer is 0.46. If he makes no sale, the probability for a sale to the next customer stays at 0.25. What is the probability that he will make at least two sales with his first three visits?
Answer by Boreal(15235) About Me  (Show Source):
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3 possibilities:
first two are sales, with probability 0.25*0.46, and third is not with probability of 0.54=0.0621
first and third are sales or 0.25*0.54*0.25, 0.03375
second and third are sales with 0.75*0.25*0.46, 0.08625
The sum is 0.1821