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For the given pair of events A and​ B, complete parts​ (a) and​ (b) below. ​A:...

For the given pair of events A and​ B, complete parts​ (a) and​ (b) below. ​A: A marble is randomly selected from a bag containing 15 marbles consisting of 1​ red, 11 ​blue, and 3 green marbles. The selected marble is one of the green marbles. ​B: A second marble is selected and it is the 1 red marble in the bag. a. Determine whether events A and B are independent or dependent.​ (If two events are technically dependent but can be treated as if they are independent according to the​ 5% guideline, consider them to be​ independent.) b. Find​ P(A and​ B), the probability that events A and B both occur.

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