Questions: A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2.

A single die is rolled twice. The 36 equally-likely outcomes are shown to the right.

Find the probability of getting two numbers whose sum is 2.
Transcript text: A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2.
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Solution

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Solution Steps

Step 1: Enumerate all possible outcomes

There are a total of 36 equally likely outcomes when a die with 6 sides is rolled twice.

Step 2: Identify favorable outcomes

The number of outcomes where the sum equals 2 is 1.

Step 3: Calculate probability

The probability is calculated as the ratio of the number of favorable outcomes to the total number of outcomes: $P = \frac{1}{36} = 0.03$.

Final Answer:

The probability of rolling two dice and getting a sum of 2 is approximately 0.03.

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