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

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) (Show Source): You can put this solution on YOUR website!
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
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