For the given pair of events A and B, complete parts (a) and (b) below. A: When
ID: 3203861 • 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 22-page document and destroyed, it is page 18. B: When a different page is randomly selected and ripped from the document, it is page 4. 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.
Explanation / Answer
Solution:- a. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.
b. The probability that events A and B both occur is
= (1/22)(1/21)
= 1/462
= 0.0022