Question 370273
(111) (112) (113)
(121) (122) (123)
(131) (132) (133)
I did all the permutations of the set of numbers beginning with one in the sample space to give you the idea of what the sample space should look like.
There are 3^3=27 groups of 3 numbers in all. You can do the other 18.
As you can see 2/9 is the probability that the player will receive three different numbers.
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Ed