For the given pair of events A and B, complete parts (a) and (b) below. A: When
ID: 3355540 • Letter: F
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 30-pagedocument and destroyed, it is page 4
B: When a different page is randomly selected and ripped from the document, it is page 10.
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 beindependent.)
b. Find P(A and B), the probability that events A and B both occur.
Explanation / Answer
P(A) = P( the selected page is number 4) = 1/30 = 0.0333 because the given document with 30 pages
P(B) = P( the selected page is number 10 given that the page number 4 is not there) = 1/29 = 0.034483
Since both the probabilities are very small and also the sample size n = 30 is large.
So we can say that they are independent event on the basis of 5% guideline.
b) P(A and B ) = P(A) P(B|A) = (1/30)*(1/29) = 0.001149