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. (Enter the

Question 473850: 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. (Enter the answer either as a fraction or as a decimal rounded to three places.)
(a) P(2) =
(b) P(3) =
(c) P(8) =
(d) P(9) =
(e) P(14) =
(f) P(16) =

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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. (Enter the answer either as a fraction or as a decimal rounded to three places.)
----
Draw the sample space as an 8x8 square with the 64 sums
you can get by rolling 2 of the dice.
----
The sample space should look like:
2;3;4;5;6;7;8;9
3;4;5;6;7;8;9;10
4;5;6;7;8;9;10;11
5;
6;
7;
8;
9;11;12;13;14;15;16
============================
(a) P(2) = 1/64
(b) P(3) = 2/64
(c) P(8) = 7/64
(d) P(9) = 8/64
(e) P(14) =
(f) P(16) =
===================
Cheers,
Stan H.
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