Question: Problem 7: Don't forget Section 1 (a) Suppose we roll a pair of fair, 6-sided dice. What is the probability of rolling at least one

Problem 7: Don't forget Section 1

(a) Suppose we roll a pair of fair, 6-sided dice. What is the probability of rolling at least one 6?

(b) Suppose we roll a pair of fair, 6-sided dice at the same time. Assuming that we have rolled at least one 6, what is the probability that both dice are 6s? (Hint: If you didn't use part (a) to answer for (b), try again.)

(c) Suppose there are 3 boxes. One of the boxes contains two apples, one contains two oranges, and the remaining one contains one apple and one orange. Suppose you have chosen one box at random and took out one piece of fruit at random. If that piece of fruit is an apple, what is the probability that the other piece of fruit in the box is also an apple?

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