Questions: What is the probability of rolling two dice and not getting a 1 or 6 on either of them? (Give your answer as a decimal number rounded to two decimal places.)

What is the probability of rolling two dice and not getting a 1 or 6 on either of them? (Give your answer as a decimal number rounded to two decimal places.)
Transcript text: What is the probability of rolling two dice and not getting a 1 or 6 on either of them? (Give your answer as a decimal number rounded to two decimal places.)
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Solution

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Calculate the probability of rolling two dice and not getting a 1 or 6 on either of them.

Determine the probability of not rolling a 1 or 6 on a single die.

The favorable outcomes for a single die are 2, 3, 4, and 5, which gives us \( \frac{4}{6} \) or \( \frac{2}{3} \).

Calculate the combined probability for both dice.

The probability of not rolling a 1 or 6 on both dice is \( \left( \frac{4}{6} \right)^2 = \frac{16}{36} = \frac{4}{9} \).

Round the final probability to two decimal places.

The rounded result is \( 0.44 \).

The answer is \( \boxed{0.44} \).

The final answer is \( \boxed{0.44} \).

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