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17 Apr 2006, 06:47
Kudos
Bookmarks
31. What is the probability of getting a sum of 12 when rolling 3 dice simultaneously?
a) 10/216
b) 12/216
c) 21/216
d) 23/216
e) 25/216
a) 10/216
b) 12/216
c) 21/216
d) 23/216
e) 25/216
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18 Apr 2006, 00:22
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Ans E.
We need to detect the # of combinations that add up to 12 with three dices. Here are the details -
a. 6,4,2 = can arrange in 6 ways.
b. 5,5,2 = can arrange in 3 ways.
c. 3,3,6 = can arrange in 3 ways.
d. 6,5,1 = can arrange in 6 ways.
e. 3,4,5 = can arrange in 6 ways.
f. 4,4,4 = can arrange in 1 ways.
So there are 6 + 3 + 3 + 6 + 6 + 1 = 25 ways.
The number of total possibilities is 6*6*6 = 216.
So the probability is 25/216.
We need to detect the # of combinations that add up to 12 with three dices. Here are the details -
a. 6,4,2 = can arrange in 6 ways.
b. 5,5,2 = can arrange in 3 ways.
c. 3,3,6 = can arrange in 3 ways.
d. 6,5,1 = can arrange in 6 ways.
e. 3,4,5 = can arrange in 6 ways.
f. 4,4,4 = can arrange in 1 ways.
So there are 6 + 3 + 3 + 6 + 6 + 1 = 25 ways.
The number of total possibilities is 6*6*6 = 216.
So the probability is 25/216.
