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A pair of dice is rolled, and the numbers showing are observed. Find the probability of getting a sum of 9.

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Final answer:

To find the probability of getting a sum of 9 when rolling a pair of dice, we need to determine the number of ways we can obtain a sum of 9 and divide it by the total number of possible outcomes when rolling two dice.

Step-by-step explanation:

To find the probability of getting a sum of 9 when rolling a pair of dice, we need to determine the number of ways we can obtain a sum of 9 and divide it by the total number of possible outcomes when rolling two dice.

There are four combinations that result in a sum of 9: (3,6), (4,5), (5,4), and (6,3). Since each die has 6 possible outcomes, the total number of outcomes when rolling two dice is 6 * 6 = 36.

The probability of getting a sum of 9 is therefore 4/36, which simplifies to 1/9 or approximately 0.1111.

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