document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #263902 by edjones(8007)\"\" \"About 
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(111) (112) (113)
\n" ); document.write( "(121) (122) (123)
\n" ); document.write( "(131) (132) (133)
\n" ); document.write( "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.
\n" ); document.write( "There are 3^3=27 groups of 3 numbers in all. You can do the other 18.
\n" ); document.write( "As you can see 2/9 is the probability that the player will receive three different numbers.
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