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Part B: Use Part A to answer each question. Show your work. Express each probability as a fraction in simplest form. (9 points) 1. What is the probability of rolling double sixes? What is the probability of rolling doubles? What is the probability of rolling a sum of 6 on the two number cubes? Annie and Alonzo both roll two number cubes. What is the probability that Annie rolls a sum of 6 and Alonzo rolls doubles? On a single roll of two number cubes, what is the probability of rolling doubles given that P(A \mid B)=\frac{P(A \text { and } B)}{P(B)} the sum is 6? Hint: Use On a single roll of two number cubes, are rolling a sum of 6 and rolling doubles independent events? Explain.

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