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

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

​A: When a page is randomly selected and ripped from a 16​-page document and​ destroyed, it is page

5.

​B: When a different page is randomly selected and ripped from the​ document, it is page 7.

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.

b. The probability that events A and B both occur is____

​(Round to four decimal places as​ needed.)

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

​A: When a baby is​ born, it is a girl.

​B: When a 12​-sided die is​ rolled, the outcome is 3.

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.

b.The probability that events A and B both occur is____.

​(Round to four decimal places as​ needed.)

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