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A standard pair of six-sided dice is rolled. what is the probability of rolling a sum less than 3?

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Final answer:

The probability of rolling a sum less than 3 with a pair of six-sided dice is 1/36 or approximately 0.0278.

Step-by-step explanation:

To find the probability of rolling a sum less than 3 with a pair of six-sided dice, we need to determine the number of favorable outcomes and the total number of possible outcomes.

There is only one way to roll a sum less than 3: rolling a 1. Therefore, the number of favorable outcomes is 1.

The total number of possible outcomes when rolling two dice is 6 * 6 = 36 since each die has 6 faces.

Hence, the probability of rolling a sum less than 3 is 1/36 or approximately 0.0278.

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