SOLUTION: Consider a die with eight sides, marked one, two, three, and so on. Assuming equally likely outcomes, find the probability that the sum of two dice is the given number. P(4)=

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Question 536742: Consider a die with eight sides, marked one, two, three, and so on.
Assuming equally likely outcomes, find the probability that the sum of
two dice is the given number.
P(4)=
P(7)=
P(15)=
I'm thinking that the sum(4) of two die will be 1+3, and 2+2. So that's only two out comes for a 4. But how do yo find the # of possibilities?

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
for P(4) ___ 1+3, 2+2, 3+1 ___ 3 outcomes (same numbers on different dice is different outcome)

any of the 8 numbers on one die can be paired with any of the 8 numbers on the other die
___ 8 * 8 = 64 possibilities

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