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.)
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.)
Solution
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.