Two 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be greater than 9?

What combination of numbers are needed in order to get a sum of 9?
        It can be:
             •  First die is 6 , second die is 3 
             •  First die is 3 , second die is 6
             •  First die is 4 , second die is 5
             •  First die is 5 , second die is 4

How many possible combinations are made? Yep, 4 possible combinations.

Recall the formula for probability
       

There are 4 desired number of outcomes.
How about the total possible outcomes?
     • How many numbers are possible to appear when the first die is rolled?
        6
     • What about the second die?
        Also 6
     • Therefore, total possible outcomes = 6 * 6 = 36 outcomes

You can now solve for the probability.

       or approximately 11.11%

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