SOLUTION: In a casino game, a player is given three numbers from 1 to 3. That is, he is given 1, 2, or 3, then again 1, 2, or 3, and then a third time 1, 2, or 3. Write out the sample spac
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Question 370273: In a casino game, a player is given three numbers from 1 to 3. That is, he is given 1, 2, or 3, then again 1, 2, or 3, and then a third time 1, 2, or 3. Write out the sample space. What is the probability that the player will receive three different numbers?
Found 2 solutions by gxlhdl, edjones:
Answer by gxlhdl(1) (Show Source): You can put this solution on YOUR website!
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(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.
.
Ed
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