Problem

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 10 .

Answer

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Answer

Final Answer: The probability of getting two numbers whose sum is 10 when a die is rolled twice is \( \boxed{0.0833} \) or \( \boxed{\frac{1}{12}} \).

Steps

Step 1 :A single die is rolled twice. There are 36 equally-likely outcomes.

Step 2 :We need to find the probability of getting two numbers whose sum is 10.

Step 3 :There are 3 favorable outcomes: (4,6), (5,5), and (6,4).

Step 4 :The probability is calculated by dividing the number of favorable outcomes by the total number of outcomes.

Step 5 :Using the formula for probability, we get \( \frac{3}{36} = 0.08333333333333333 \).

Step 6 :Final Answer: The probability of getting two numbers whose sum is 10 when a die is rolled twice is \( \boxed{0.0833} \) or \( \boxed{\frac{1}{12}} \).

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