SOLUTION: Assume you are rolling two dice; the first one is red, and the second one is green. Use systematic listing to determine the number of ways you can roll a total of 9 on the two dice

Question 1034747: Assume you are rolling two dice; the first one is red, and the second one is green. Use systematic listing to determine the number of ways you can roll a total of 9 on the two dice.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's list out the sample space

{1, 1}
{1, 2}
{1, 3}
{1, 4}
{1, 5}
{1, 6}
{2, 1}
{2, 2}
{2, 3}
{2, 4}
{2, 5}
{2, 6}
{3, 1}
{3, 2}
{3, 3}
{3, 4}
{3, 5}
{3, 6}
{4, 1}
{4, 2}
{4, 3}
{4, 4}
{4, 5}
{4, 6}
{5, 1}
{5, 2}
{5, 3}
{5, 4}
{5, 5}
{5, 6}
{6, 1}
{6, 2}
{6, 3}
{6, 4}
{6, 5}
{6, 6}

This is the entire set of possible outcomes. For example, {4, 6} means rolling a 4 first, then a 6 next.

Often it's handy to write in a table form like you see below. The table makes things more compact and readable.

Source: http://math.stackexchange.com/questions/598808/if-you-roll-a-fair-six-sided-die-twice-whats-the-probability-that-you-get-the

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Now let's focus on the outcomes where the sum of the two rolls gets 9. Those outcomes are...

{3, 6}
{4, 5}
{5, 4}
{6, 3}

Eg: {3,6} means we rolled a 3 first and then a 6. The sum of the roll is 3+6 = 9.

Final Answer: there are 4 ways to roll a 9
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
: Assume you are rolling two dice; the first one is red, and the second one is green. Use systematic listing to determine the number of ways you can roll a total of 9 on the two dice.
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Ans: 3/6 ; 4/5 ; 5/4 ; 6/3-------4 ways
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Cheers,
Stan H.
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