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

Question

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 14-page document and destroyed, it is page 3.

B: When a different page is randomly selected and ripped from the document, it is page 13.

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.

a. Choose the correct answer below.

A. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other.

B. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.

C. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other.

D. The two events are independent because the 5% guideline indicates that they should be treated as independent.

b. The probability that events A and B both occur is____________(Round to four decimal places as needed.)

Explanation / Answer

(a)

After selecting first page there will be only 13 pages remaining for selectig second page. That is occurence of 1 affect the occurence of other.

B. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.

(b)

The probabaility of event A and B is

P(A and B) = (1/14)*(1/13) = 0.0055

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