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 29-page document and destroyed, it is page 15. B: When a different page is randomly selected and ripped from the document, it is page 24.

Required:
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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cristoshiwa cristoshiwa · Answer 1 · 2020-10-03T04:05:36+02:00

Answer and Step-by-step explanation:

In probability, events are dependent when the probability of the first event ocurring influences the outcome of the second event.

a. For events A and B, after ripping one page, it is destroyed, so the total number of pages changed. Therefore, events A and B are dependent.

b. To find the probability of both events happening, first, determine the probabilities of each event:

P(A) = [tex]\frac{1}{29}[/tex]

P(B) = [tex]\frac{1}{28}[/tex]

P(A and B) = [tex]\frac{1}{29}.\frac{1}{28}[/tex]

P(A and B) = [tex]\frac{1}{812}[/tex]

Probability of A and B occur is 0.12% or [tex]\frac{1}{812}[/tex].