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For the following exercises, assume two die are rolled. What is the probability of rolling a pair?

For the following exercises, assume two die are rolled. What is the probability that a roll includes a 2 or results in a pair?

For the following exercises, assume two die are rolled. What is the probability that a roll doesn’t include a 2 or result in a pair?

For the following exercises, assume two die are rolled. What is the probability of rolling a 5 or a 6?

For the following exercises, assume two die are rolled. What is the probability that a roll includes neither a 5 nor a 6?

For the following exercises, use the following data: An elementary school survey found that 350 of the 500 students preferred soot to milk. Suppose 8 children from the school are attending a birthday party. (Show calculations and round to the nearest tenth of a percent.) What is the percent chance that all the children attending the party prefer soda?

For the following exercises, use the following data: An elementary school survey found that 350 of the 500 students preferred soot to milk. Suppose 8 children from the school are attending a birthday party. (Show calculations and round to the nearest tenth of a percent.) What is the percent chance that at least one of the children attending the party prefers milk?

For the following exercises, use the following data: An elementary school survey found that 350 of the 500 students preferred soot to milk. Suppose 8 children from the school are attending a birthday party. (Show calculations and round to the nearest tenth of a percent.) What is the percent chance that exactly 3 of the children attending the party prefer soda?

For the following exercises, use the following data: An elementary school survey found that 350 of the 500 students preferred soot to milk. Suppose 8 children from the school are attending a birthday party. (Show calculations and round to the nearest tenth of a percent.) What is the percent chance that exactly 3 of the children attending the party prefer milk?

Write the first four terms of the sequence defined by the recursive formula \(a=-14, \quad a_{n}=\frac{2+a_{n-1}}{2}\)