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Three fair dice are rolled.  What is the probability that the sum of the rolls is a multiple of 4?

 
 Jun 8, 2021
 #1
avatar+174 
+1

There are three ways three dice can roll a 4. (possibilities are 1-1-2, 1-2-1, and 2-1-1)

There are 216 possibilities for a sum when you roll three die. So, the probabilitiy that you will roll a 4 is 3/216=1/72

 

JP

 
 Jun 8, 2021
 #3
avatar+1760 
+1

Nice work, but I think it's multiples of 4 instead of just 4. :))

 

=^._.^=

 
catmg  Jun 8, 2021
 #2
avatar+119772 
+2

6^3  =  216  Possible Outcomes

 

1 way for   3

3 ways for 4

6 for 5

10 for 6

15 for 7

21 for 8

25 for 9

27 for 10

27 for 11

25 for 12

21 for 13

15 for 14

10 for 15

6 for 16

3 for 17

1 for 18

 

Multiples  of  4  =   4 , 8 , 12 , 16

 

So

 

( 3  +  21  +  25  + 6) /   216   =

 

  55  / 216

 

cool cool cool

 
 Jun 8, 2021

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