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When three standard dice are tossed, the numbers x, y, and z are obtained. Find the probability that xyz=18. If you have an answer please explain it, without an explanation the problem is useless to my education

 Dec 25, 2021
 #1
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how do you multiply three numbers to get 18

 3 2 6      6 ways to roll this    326  362  632  623   236  263

3 3 2      3 ways to roll           332   323   233 

631        6 ways   

 

There are  6^3 = 216 possible rolls

 

12 out of 216      12 /216     or   1 / 18

 Dec 25, 2021
 #2
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Looks more like 9 to me.  you can't count that first one because 3 x 2 x 6 does not equal 18  

Guest Dec 25, 2021
 #3
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(136, 163, 233, 316, 323, 332, 361, 613, 631)>>Total = 9 ways

 

Probability is: 9 / 6^3 ==9 / 216==1 / 24

Guest Dec 25, 2021

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