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18/20 x 17/19 x 16/18 = 4896/6840, or around 71.6%.

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Q: In a shop there are 20 customers 18 of whom will make a purchase If three customers are selected one at a time at random what is the probability that all will make a purchase?
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Alternate Wordings for 'In a shop there are 20 customers 18 of whom will make a purchase. If three customers are selected one at a time at random what is the probability that all will make a purchase?

Here is another way to phrase the question: If 18 out of 20 customers make a purchase in a shop, and three customers are selected at random, what is the probablity that all will make a purchase? Each random customer has a 18/20 chance of being one that purchased, so the probability that all three make a purchase is 18/20*18/20*18/20=.729


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