Posted by Dylan on Tuesday, September 11, 2012 at 11:44pm.
Three fair dice are rolled, and all outcomes are equally likely. What is the probability that the sum of all the numbers on the dice is at most 6?

Math  Steve, Wednesday, September 12, 2012 at 11:25am
If you count the dice as unique,
there are 6^3 = 216 possible outcomes
There are 42 where the sum is at most 6.
p(sum <= 6) = 42/216 = 7/36
1 1 1
1 1 2
1 1 3
1 1 4 and permutations: 24
1 2 2
1 2 3 and permutations: 12
2 2 2 and permutations: 6
If the dice are indistinguishable, then
there are 56 outcomes
there are 6 where sum <= 6
p(sum <= 6) = 6/56 = 3/28
Answer This Question
Related Questions
 Math  Three fair dice are rolled, and all outcomes are equally likely. What is ...
 Probability  When two fair sixsided dice are rolled, there are 36 possible ...
 math  this is real hard and i would love some help. In a game of craps, a ...
 Math  Suppose you play a game in which two fair standard dice are rolled. If ...
 Math 115 Statistics  In the game of craps, the player rolls two balanced dice, ...
 Math Probability  Find the (theoretical) probability of a given event, assuming...
 algebra  two dice are rolled. if a 3 appears on either dice,then the two dice ...
 Mathematics  When two balanced dice are rolled, 36 equally likely outcomes are ...
 math  two 6 sided dice are rolled.what is the probability the sum of the 2 ...
 math  two dice are rolled find the probability of getting a 5 on either dice or...
More Related Questions